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Search: id:A060061
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| 61, 1385, 12284, 68060, 281210, 948002, 2749340, 7097948, 16700255, 36419955, 74551048, 144631240, 267951892, 476948260, 819683560, 1365672424, 2213323585, 3499318141, 5410278500, 8197124100
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OFFSET
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0,1
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COMMENT
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a(n)= sum(j3^2*sum(j2^2*sum(j1^2,j1=1..j2+1),j2=1..j3+1),j3=1..n), threefold iterated sums of squares).
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FORMULA
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a(n)=A060058(n+3, 3) = binomial(n+6, 6)*(280*n^3+2436*n^2+5906*n+3843)/(7*9).
G.f. (61+775*x+1179*x^2+225*x^3)/(1-x)^10 = p(3, x)/(1-x)^(3*3+1) with p(3, x)=sum(A060063(3, m)*x^m, m=0..3).
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CROSSREFS
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A000330, A060060.
Adjacent sequences: A060058 A060059 A060060 this_sequence A060062 A060063 A060064
Sequence in context: A008358 A138790 A057534 this_sequence A000507 A143011 A017777
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Mar 16 2001
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