Centered pentachoric number

A centered pentachoric number is a figurate number that represents a pentachoron.

The first such numbers are: 1, 6, 21, 56, 126, 251, 456, 771, 1231, 1876, 2751, 3906, 5396, 7281, … (sequence A008498 in the OEIS).

Centered pentachoric numbers can also be represented as the sum of the first n pentatope numbers.

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