The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A013618 Triangle of coefficients in expansion of (1+11x)^n. 0
 1, 1, 11, 1, 22, 121, 1, 33, 363, 1331, 1, 44, 726, 5324, 14641, 1, 55, 1210, 13310, 73205, 161051, 1, 66, 1815, 26620, 219615, 966306, 1771561, 1, 77, 2541, 46585, 512435, 3382071, 12400927, 19487171, 1, 88, 3388, 74536, 1024870, 9018856, 49603708, 155897368, 214358881 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS T(n,k) equals the number of n-length words on {0,1,...,11} having n-k zeros. - Milan Janjic, Jul 24 2015 LINKS FORMULA G.f.: 1 / (1 - x(1+11y)). T(n,k) = 11^k*C(n,k) = Sum_{i=n-k..n} C(i,n-k)*C(n,i)*10^(n-i). Row sums are 12^n = A001021. - Mircea Merca, Apr 28 2012 MAPLE T:= n-> (p-> seq(coeff(p, x, k), k=0..n))((1+11*x)^n): seq(T(n), n=0..10);  # Alois P. Heinz, Jul 24 2015 CROSSREFS Sequence in context: A178243 A040131 A282868 * A014467 A174221 A194039 Adjacent sequences:  A013615 A013616 A013617 * A013619 A013620 A013621 KEYWORD tabl,nonn,easy AUTHOR STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified April 17 05:12 EDT 2021. Contains 343059 sequences. (Running on oeis4.)