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Search: id:A114203
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| A114203 |
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Row sums of a Pascal-Jacobsthal triangle. |
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+0
2
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| 1, 2, 4, 8, 18, 44, 110, 272, 662, 1596, 3838, 9240, 22286, 53812, 129974, 313888, 757878, 1829644, 4416910, 10662952, 25742302, 62147556, 150038438, 362226480, 874493446, 2111213372, 5096916094, 12305037368, 29706982638, 71719002644
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of double Jacobsthal sequence 1,1,1,1,3,3,5,5,11,11,... Row sums of A114202.
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FORMULA
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G.f.: (1-x)^2/(1-4x+5x^2-2x^3-2x^4); a(n)=4a(n-1)-5a(n-2)+2a(n-3)+2a(n-4); a(n)=sum{k=0..n, sum{i=0..n-k, C(n-k, i)C(k, i)J(i)}}; a(n)=sum{k=0..n, C(n, k)J(floor((k+2)/2))}, J(n)=A001045(n).
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CROSSREFS
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Sequence in context: A049075 A052327 A059221 this_sequence A100132 A088457 A006786
Adjacent sequences: A114200 A114201 A114202 this_sequence A114204 A114205 A114206
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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), Nov 16 2005
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