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A108869 E.g.f. : exp(6x)/(1-x). 1
1, 7, 50, 366, 2760, 21576, 176112, 1512720, 13781376, 134110080, 1401566976, 15780033792, 191537187840, 2503044135936, 35120982067200, 527284915992576, 8439379765788672, 143486382677852160, 2582856448158007296 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Binomial transform of A080954.

a(n) is the permanent of the n X n matrix with 7's on the diagonal and 1's elsewhere.

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = n!*Sum_{ k = 0..n } 6^k/k!.

a(n) = Sum_{ k = 0..n } A008290(n, k)*7^k.

a(n) Sum_{ k = 0..n } k!*C(n, k)*6^(n-k).

MAPLE

a:=n->n!*sum(6^k/k!, k=0..n): seq(a(n), n=0..20); (Deutsch)

restart:F(x):=exp(6*x)/(1-x): f[0]:=F(x): for n from 1 to 20 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..18); # [From Zerinvary Lajos, Apr 03 2009]

CROSSREFS

Cf. A008290, A000142, A000522, A010842, A053486, A053487, A080954.

Sequence in context: A163458 A081571 A081189 * A065429 A005460 A053155

Adjacent sequences:  A108866 A108867 A108868 * A108870 A108871 A108872

KEYWORD

easy,nonn

AUTHOR

Philippe Deléham, Jul 13 2005

EXTENSIONS

More terms from Emeric Deutsch, Jul 18 2005

STATUS

approved

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Last modified April 19 00:07 EDT 2014. Contains 240735 sequences.