A093646 Higher dimensional figurate numbers based on 12-gonal numbers A051624.

1, 19, 145, 715, 2695, 8437, 23023, 56485, 127270, 267410, 529958, 999362, 1805570, 3142790, 5293970, 8662214, 13810511, 21511325, 32807775, 49088325, 72177105, 104442195, 148924425, 209489475, 291006300, 399555156, 542668764, 729610420

Offset: 0

Author

Wolfdieter Lang, Apr 22 2004

Keywords

• nonn
• easy

Crossrefs

Cf. A093645 ((10, 1) Pascal, column m=9).

Formula

a(n)= (10*n+9)*binomial(n+8, 8)/9. G.f.: (1+9*x)/(1-x)^10.