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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
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.
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
KEYWORD
easy,nonn
AUTHOR
Johannes W. Meijer, Oct 05 2009
STATUS
approved