A165677 Fifth right hand column of triangle A165674

274, 1044, 2754, 5944, 11274, 19524, 31594, 48504, 71394, 101524, 140274, 189144, 249754, 323844, 413274, 520024, 646194, 794004, 965794, 1164024, 1391274, 1650244, 1943754, 2274744, 2646274, 3061524, 3523794, 4036504

Offset

1,1

Comments

The recurrence relation leads to Pascal's triangle A007318, the a(n) formula to Wiggen's triangle A028421 and the o.g.f to Wood's polynomials A126671; see A165674.

Links

Table of n, a(n) for n=1..28.

Formula

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5)

a(n) = 24 + 100*n + 105*n^2 + 40*n^3 + 5*n^4

Gf(z) = (0*z^6 - 24*z^5 + 126*z^4 - 274*z^3 + 326*z^2 - 274*z)/(z-1)^5

Crossrefs

Cf. A165674, A007318, A028421, A126671.

Sequence in context: A260289 A322254 A204278 * A143076 A171346 A001242

Adjacent sequences: A165674 A165675 A165676 * A165678 A165679 A165680

Keyword

easy,nonn

Author

Johannes W. Meijer, Oct 05 2009

Status

approved