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Search: id:A105636
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| 0, 1, 8, 28, 72, 153, 288, 496, 800, 1225, 1800, 2556, 3528, 4753, 6272, 8128, 10368, 13041, 16200, 19900, 24200, 29161, 34848, 41328, 48672, 56953, 66248, 76636, 88200, 101025, 115200, 130816, 147968, 166753, 187272, 209628, 233928, 260281
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OFFSET
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0,3
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COMMENT
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Transform of n^3 by the Riordan array (1/(1-x^2),x).
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FORMULA
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G.f.: x(1+4x+x^2)/((1-x^2)(1-x)^4); a(n)=4a(n-1)-5a(n-2)+5a(n-4)-4a(n-5)+a(n-6); a(n)=(2n^4+8n^3+8n^2-1)/16+(-1)^n/16; a(n)=sum{k=0..floor((n-1)/2), (n-2k)^3}; a(n+1)=sum{k=0..n, k^3*(1-(-1)^(n+k-1))/2}.
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CROSSREFS
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Cf. A002620, A000292, A000578.
Sequence in context: A100182 A119515 A153976 this_sequence A102665 A134638 A130129
Adjacent sequences: A105633 A105634 A105635 this_sequence A105637 A105638 A105639
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 16 2005
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