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A165677 Fifth right hand column of triangle A165674 4
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 23 23:18 EST 2020. Contains 332195 sequences. (Running on oeis4.)