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Search: id:A098601
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| A098601 |
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Expansion of (1+2x)/((1+x)(1-x^2-x^3)). |
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+0
3
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| 1, 1, 0, 3, 0, 4, 2, 5, 5, 8, 9, 14, 16, 24, 29, 41, 52, 71, 92, 124, 162, 217, 285, 380, 501, 666, 880, 1168, 1545, 2049, 2712, 3595, 4760, 6308, 8354, 11069, 14661, 19424, 25729, 34086, 45152, 59816, 79237, 104969, 139052, 184207, 244020, 323260
(list; graph; listen)
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OFFSET
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0,4
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COMMENT
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Diagonal sums of A098599.
The signed sequence 1,-1,0,-3,0,-4,... gives the diagonal sums of A100218. - Paul Barry (pbarry(AT)wit.ie), Nov 09 2004
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FORMULA
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G.f.: x/((1+x)(1-x^2-x^3))+1/(1-x^2-x^3); a(n)=sum{k=0..floor(n/2), binomial(k, n-2k)+binomial(k-1, n-2k-1)}; a(n)=-a(n-1)+a(n-2)+2a(n-3)+a(n-4).
Inverse binomial transform of A135364. - Paul Curtz (bpcrtz(AT)free.fr), Apr 25 2008
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CROSSREFS
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Cf. A000931, A077883.
Sequence in context: A077150 A065453 A152770 this_sequence A113486 A108572 A104686
Adjacent sequences: A098598 A098599 A098600 this_sequence A098602 A098603 A098604
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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), Sep 17 2004
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