Centered pentagonal number Guide, Meaning , Facts, Information and Description
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 dot equidistantly. 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
The parity of centered pentagonal numbers follows the pattern even-even-odd-odd, and in base 10 one can notice the one's digits follows the pattern 6-6-1-1.
See also regular pentagonal number.
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