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A067411
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Third column of triangle A067410 and second column of A067417.
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11
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1, 4, 24, 144, 864, 5184, 31104, 186624, 1119744, 6718464, 40310784, 241864704, 1451188224, 8707129344, 52242776064, 313456656384, 1880739938304, 11284439629824, 67706637778944, 406239826673664
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
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FORMULA
| a(n)= A067410(n+2, 2)= A067417(n+1, 1). a(n)= 4*6^(n-1), n>=1, a(0)=1.
G.f.: (1-2*x)/(1-6*x).
E.g.f.: (2exp(6x)+1)/3=exp(3x)(cosh(3x)+sinh(3x)/3) - Paul Barry (pbarry(AT)wit.ie), Nov 20 2003
a(n)=sum{k=0..n, C(n,k)*J(n+k+1)}, J(n)=A001045(n). [From Paul Barry (pbarry(AT)wit.ie), Apr 19 2010]
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MAPLE
| with(finance):seq(ceil(futurevalue(4, 5, n)), n=-1..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]
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CROSSREFS
| A002001, A067412 (seecond and fourth column of A067410), A000244, A067403 (first and third column of A067417), A000400 (powers of 6).
Sequence in context: A155119 A114169 A121102 * A045915 A052609 A077613
Adjacent sequences: A067408 A067409 A067410 * A067412 A067413 A067414
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 2002
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