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## Heptagonal Triangular Numbers

A number which is simultaneously a heptagonal number and a triangular number. The First few are 1, 55, 121771, 5720653, 12625478965,

## Heptagonal Square Numbers

A number which is simultaneously a heptagonal number and a Square Number. The First few are 1, 81, 5929, 2307361, 168662169, 12328771225,

## Heptagonal Pentagonal Numbers

A number which is simultaneously a heptagonal number and a pentagonal number. The First few are 1, 4347, 16701685, 64167869935, 246532939589097,

## Heptagonal Hexagonal Numbers

A number which is simultaneously a heptagonal number and hexagonal number. The First few are 1, 121771, 12625478965, 1309034909945503,

## Heptagonal Octagonal Numbers

A number which is simultaneously a heptagonal number and an octagonal number. The First few are 1, 297045, 69010153345,

## Heptagonal Pentagonal Numbers

A number which is simultaneously a heptagonal number and a pentagonal number. The First few are 1, 40755, 1533776805, 57722156241751, ...

## Octagonal Triangular Numbers

A number which is simultaneously an octagonal number and a Triangular number. The First few are 1, 21, 11781, 203841, 113123361, ...

## Octagonal Square Numbers

A number which is simultaneously an octagonal number and a Square Number. The First few are 1, 225, 43681, 8473921, 1643897025, ...

## Octagonal Pentagonal Numbers

A number which is simultaneously an octagonal number and a pentagonal number. The First few are 1, 176, 1575425, 234631320, 2098015778145, ...

## Octagonal Hexagonal Numbers

A number which is simultaneously an octagonal number and a hexagonal number. The First few are 1, 11781, 113123361, 1086210502741, ...

## Pentagonal Triangular Numbers

A number which is simultaneously a pentagonal number and a triangular number. The First few are 1, 210, 40755, 7906276, 1533776805,

## Pentagonal Square Numbers

A number which is simultaneously a pentagonal number and a Square Number. The First few are 1, 9801, 94109401, 903638458801, 8676736387298001, ...

## Square Triangular Numbers

A number which is simultaneously a Square Number and a triangular number. The First few are 1, 36, 1225, 41616, 1413721, 48024900, ...

## Nonagonal Octagonal Numbers

A number which is simultaneously a nonagonal number and an octagonal number. The First few are 1, 631125, 286703855361, 130242107189808901, ...

## Nonagonal Heptagonal Numbers

A number which is simultaneously a nonagonal number and a heptagonal number. The First few are 1, 26884, 542041975, 10928650279834, ...

## Nonagonal Hexagonal Numbers

A number which is simultaneously a nonagonal number and a hexagonal number. The First few are 1, 325, 5330229625, 1353857339341, 22184715227362706161, ...

## Nonagonal Pentagonal Numbers

A number which is simultaneously a nonagonal number and a pentagonal number. The First few are 1, 651, 180868051, 95317119801, 26472137730696901, ...

## Nonagonal Square Numbers

A number which is simultaneously a nonagonal number and a Square Number. The First few are 1, 9, 1089, 8281, 978121, 7436529, ...

## Nonagonal Triangular Numbers

A number which is simultaneously a nonagonal number and a triangle number. The First few are 1, 325, 82621, 20985481, 5330229625, 1353857339341, ...

## Tetrahedal and Square Numbers

The only numbers which are simultaneously square and tetrahedral are 1, 4 and 19600.

## Tetrahedal and Triangular Numbers

The only numbers which are simultaneously triangular and tetrahedral are 1, 10, 120, 1540 and 7140.

## Square Pyramidal and Square Numbers

The only numbers which are simultaneously square and square pyramidal are 1 and 4900.

## Square Pyramidal and Triangular Numbers

The only numbers which are simultaneously triangular and square pyramidal are 1, 55, 91, 208335.

## Square Pyramidal and Tetrahedal Numbers

The only number which is simultaneously tetrahedal and square pyramidal is 1.

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