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A159833 n^2*(n^2+15)/4. +0
2
0, 4, 19, 54, 124, 250, 459, 784, 1264, 1944, 2875, 4114, 5724, 7774, 10339, 13500, 17344, 21964, 27459, 33934, 41500, 50274, 60379, 71944, 85104, 100000, 116779, 135594, 156604, 179974, 205875, 234484, 265984, 300564, 338419, 379750, 424764 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)= A008488(n+1)-2 = 4-15*A000292(n+1)+6*A000332(n+4)+20*A000217(n+1)-15*(n+1) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+a(n-5). G.f.: -x*(1+x)*(4*x^2-5*x+4)/(x-1)^5.

MAPLE

seq(n^2*(n^2+15)/4, n=0..80)

CROSSREFS

Sequence in context: A067981 A162254 A138617 this_sequence A166808 A122684 A122681

Adjacent sequences: A159830 A159831 A159832 this_sequence A159834 A159835 A159836

KEYWORD

easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009

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Last modified December 4 15:11 EST 2009. Contains 170347 sequences.


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