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A108479 Diagonal sums of number triangle A086645. +0
2
1, 1, 2, 7, 17, 44, 117, 305, 798, 2091, 5473, 14328, 37513, 98209, 257114, 673135, 1762289, 4613732, 12078909, 31622993, 82790070, 216747219, 567451585, 1485607536, 3889371025, 10182505537, 26658145586, 69791931223, 182717648081 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: (1-x-x^2)/(1-2x-x^2-2x^3+x^4); a(n)=2(n-1)+a(n-2)+2a(n-3)-a(n-4); a(n)=sum{k=0..floor(n/2), C(2(n-k), 2k)}; a(n)=sum{k=0..floor(n/2), sum{j=0..n-k, C(2(n-2k), j)C(2k, j)}}.

CROSSREFS

Sequence in context: A154117 A067038 A106910 this_sequence A014742 A085411 A007049

Adjacent sequences: A108476 A108477 A108478 this_sequence A108480 A108481 A108482

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 04 2005

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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