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A080422
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(n+1)(n+2)(n+3)(n+12)3^n/72.
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3
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1, 13, 105, 675, 3780, 19278, 91854, 415530, 1804275, 7577955, 30961359, 123589557, 483611310, 1860043500, 7046907660, 26344593252, 97328636181, 355781149065, 1288173125925, 4623863536215, 16466920464456, 58222325927898
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harvey P. Dale, Table of n, a(n) for n = 0..1000
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FORMULA
| G.f. (1-2x)/(1-3x)^5
a(0)=1, a(1)=13, a(2)=105, a(3)=675, a(4)=3780, a(n)=15*a(n-1)- 90*a(n-2)+ 270*a(n-3)-405*a(n-4)+243*a(n-5) [From Harvey P. Dale, Oct 22 2011]
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MATHEMATICA
| Table[(n+1)(n+2)(n+3)(n+12)3^n/72, {n, 0, 30}] (* or *) LinearRecurrence[ {15, -90, 270, -405, 243}, {1, 13, 105, 675, 3780}, 30] (* From Harvey P. Dale, Oct 22 2011 *)
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CROSSREFS
| T(n, 4) in triangle A080419
Sequence in context: A000590 A052065 A041316 * A030055 A155636 A055902
Adjacent sequences: A080419 A080420 A080421 * A080423 A080424 A080425
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 19 2003
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