This is an old revision of this page, as edited by Arlene Foster (talk | contribs) at 23:53, 30 November 2019 (→External links). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
A centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding the center in successive pentagonal layers. The centered pentagonal number for n is given by the formula
The first few centered pentagonal numbers are
1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, 391, 456, 526, 601, 681, 766, 856, 951, 1051, 1156, 1266, 1381, 1501, 1626, 1756, 1891, 2031, 2176, 2326, 2481, 2641, 2806, 2976 (sequence A005891 in the OEIS).
The parity of centered pentagonal numbers follows the pattern even-even-odd, and in base 10 the units follow the pattern 1-6-6-1.
This article about a number is a stub. You can help Wikipedia by expanding it.
