A259318 a(n) = A259109(n)*A006331(n) - A259108(n)^2.
0, 0, 144, 6048, 85536, 679536, 3747744, 16039296, 56930688, 174978144, 479700144, 1198248480, 2770653600, 6002352720, 12298837824, 24014605824, 44957265408, 81097765056, 141549364944, 239891292576, 395928108576, 637992775728, 1005920381664, 1554840524160
Offset: 0
Examples
n=3: 6048 = 1588*28 - 196^2.
Links
- Colin Barker, Table of n, a(n) for n = 0..1000
- J. L. Bailey, Jr., A table to facilitate the fitting of certain logistic curves, Annals Math. Stat., 2 (1931), 355-359.
- Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
Programs
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PARI
concat([0,0], Vec(-144*x^2*(x^6+31*x^5+187*x^4+330*x^3+187*x^2 +31*x+1)/(x-1)^11 + O(x^100))) \\ Colin Barker, Jun 29 2015
Formula
a(n) = (16*n^10+80*n^9+120*n^8-147*n^6-105*n^5+5*n^4+25*n^3+6*n^2)/525. - Colin Barker, Jun 29 2015
G.f.: -144*x^2*(x^6+31*x^5+187*x^4+330*x^3+187*x^2+31*x+1) / (x-1)^11. - Colin Barker, Jun 29 2015