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A114203
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Row sums of a Pascal-Jacobsthal triangle.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| 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
| 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
| Sequence in context: A052327 A059221 A193617 * A100132 A176720 A088457
Adjacent sequences: A114200 A114201 A114202 * A114204 A114205 A114206
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 16 2005
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