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A108351 Diagonal sums of symmetric triangle A108350. +0
2
1, 1, 2, 3, 5, 8, 14, 24, 43, 77, 140, 255, 467, 856, 1572, 2888, 5309, 9761, 17950, 33011, 60713, 111664, 205378, 377744, 694775, 1277885, 2350392, 4323039, 7951303, 14624720, 26899048, 49475056, 90998809, 167372897, 307846746 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: (1-x-x^2)/((1+x)(1-x)^2(1-x-x^2-x^3)); a(n)=2a(n-1)+a(n-2)-2a(n-3)-a(n-4)+a(n-6); a(n)=sum{k-0..floor(n/2), sum{j=0..n-2k, C(k, j)C(n-k-j, k)*(1+(-1)^j)/2}}.

CROSSREFS

Adjacent sequences: A108348 A108349 A108350 this_sequence A108352 A108353 A108354

Sequence in context: A062692 A018154 A127603 this_sequence A038495 A079500 A007059

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 31 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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