|
Search: id:A050988
|
|
| |
|
| 1, 42, 1008, 18144, 272160, 3592512, 43110144, 480370176, 5043886848, 50438868480, 484213137408, 4489976365056, 40409787285504, 354362750042112, 3037395000360960, 25514118003032064
(list; graph; listen)
|
|
|
OFFSET
|
6,2
|
|
|
COMMENT
|
With a different offset, number of n-permutations (n>=6) of 7 objects: s, t, u, v, z, x, y with repetition allowed, containing exactly six (6) u's. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
FORMULA
|
a(n) = 6^n*binomial(n+6, 6). G.f.: 1/(1-6*x)^7. [Corrected by Zerinvary Lajos, Aug 02 2008]
G.f.:1/(1-6*x)^7 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 09 2008]
|
|
EXAMPLE
|
A050988:=1/(1-6*x)^7:series(A050988,x,17);# 1 + 42 x + 1008 x^2 + 18144 x^3 + 272160 x^4 + 3592512 x^5 + 43110144x^6 + 480370176 x^7 + 5043886848 x^8 + 50438868480 x^9 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 09 2008]
|
|
MAPLE
|
seq(binomial(n+6, 6)*6^n, n=0..16); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 16 2008
A050988:=1/(1-6*x)^7; series(A050988, x, 17); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Aug 09 2008]
|
|
PROGRAM
|
(Other) SAGE:[lucas_number2(n, 6, 0)*binomial(n, 6)/6^6for n in xrange(6, 22)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 13 2009]
|
|
CROSSREFS
|
Cf. A000027, A001788, A036216, A040075, A050982, A050989.
Sequence in context: A004422 A020932 A036400 this_sequence A163741 A140404 A075511
Adjacent sequences: A050985 A050986 A050987 this_sequence A050989 A050990 A050991
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com)
|
|
|
Search completed in 0.002 seconds
|
