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A152600
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a(n)=0^n+sum{k=0..n-1, C(n+k-1,2k)*A000108(k)*3^k*2^(n-k)}
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1
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1, 2, 10, 80, 790, 8720, 103060, 1275680, 16326190, 214280720, 2868504460, 39014154080, 537592643740, 7488960021920, 105295566289960, 1492291482505280, 21296015905884190, 305755507155234320
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Hankel transform is 2^n*3^C(n+1,2)*5^C(n,2). A152601(n)=a(n+1)/2.
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FORMULA
| a(n) = 2^n * (4*(n+1)*LegendreP(n+1,4) - (31*n+16)*LegendreP(n,4))/(3*n*(n-1)) for n>1 [From Mark van Hoeij (hoeij(AT)math.fsu.edu), May 27 2010]
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CROSSREFS
| Sequence in context: A108486 A152168 A003578 * A048286 A133480 A008544
Adjacent sequences: A152597 A152598 A152599 * A152601 A152602 A152603
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Dec 09 2008
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