

A014829


a(1)=1, a(n) = 6*a(n1) + n.


5



1, 8, 51, 310, 1865, 11196, 67183, 403106, 2418645, 14511880, 87071291, 522427758, 3134566561, 18807399380, 112844396295, 677066377786, 4062398266733, 24374389600416, 146246337602515, 877478025615110
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OFFSET

1,2


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


FORMULA

a(n) = (6^(n+1)  5*n  6)/25.  Rolf Pleisch, Oct 25 2010
Binomial transform of x*(1+x)/(15*x), or A003948 with a leading 0. a(n) = Sum_{k=0..n} (nk)*6^k = Sum_{k=0..n} k*6^(nk); a(n) = Sum_{k=0..n} binomial(n+2, k+2)*5^k [Offset 0].  Paul Barry, Jul 30 2004


MAPLE

a:=n>1/5*sum(6^j1, j=1..n): seq(a(n), n=1..20); # Zerinvary Lajos, Jun 27 2007


MATHEMATICA

Join[{a=1, b=8}, Table[c=7*b6*a+1; a=b; b=c, {n, 60}]] (* Vladimir Joseph Stephan Orlovsky, Feb 06 2011 *)


PROG

(MAGMA) [(6^(n+1)5*n6)/25: n in [1..30]]; // Vincenzo Librandi, Aug 23 2011


CROSSREFS

Sequence in context: A037697 A037606 A055147 * A048438 A295602 A226199
Adjacent sequences: A014826 A014827 A014828 * A014830 A014831 A014832


KEYWORD

nonn,easy


AUTHOR

N. J. A. Sloane


STATUS

approved



