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Search: id:A067411
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A067411 Third column of triangle A067410 and second column of A067417. +0
8
1, 4, 24, 144, 864, 5184, 31104, 186624, 1119744, 6718464, 40310784, 241864704, 1451188224, 8707129344, 52242776064, 313456656384, 1880739938304, 11284439629824, 67706637778944, 406239826673664 (list; graph; listen)
OFFSET

0,2

LINKS

Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets

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

MAPLE

with(finance):seq(ceil(futurevalue(4, 5, n)), n=-1..18); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 25 2009]

CROSSREFS

A002001, A067412 (seecond and fourth column of A067410), A000244, A067403 (first and third column of A067417), A000400 (powers of 6).

Adjacent sequences: A067408 A067409 A067410 this_sequence A067412 A067413 A067414

Sequence in context: A155119 A114169 A121102 this_sequence A045915 A052609 A077613

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 2002

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.


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