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Search: id:A115285
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| A115285 |
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Diagonal sums of correlation triangle for 1,3,4,4,4,...(A113311). |
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+0
2
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| 1, 3, 7, 14, 23, 35, 50, 67, 87, 110, 135, 163, 194, 227, 263, 302, 343, 387, 434, 483, 535, 590, 647, 707, 770, 835, 903, 974, 1047, 1123, 1202, 1283, 1367, 1454, 1543, 1635, 1730, 1827, 1927, 2030, 2135, 2243, 2354, 2467, 2583, 2702, 2823, 2947, 3074
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Diagonal sums of number triangle A115284.
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FORMULA
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G.f.: (1+x)^2*(1+x^2)^2/((1-x)(1-x^2)(1-x^3)); a(n)=sum{k=0..floor(n/2), sum{j=0..n-k [j<=k]*(4-C(1, k-j)-2C(0, k-j))*[j<=n-2k]*((4-C(1, n-2k-j)-2C(0, n-2k-j))}}.
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CROSSREFS
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Sequence in context: A154772 A156859 A146931 this_sequence A004232 A140462 A093523
Adjacent sequences: A115282 A115283 A115284 this_sequence A115286 A115287 A115288
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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), Jan 19 2006
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