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A035927 One less than number of n-multisets chosen from a 10-set. 5
0, 9, 54, 219, 714, 2001, 5004, 11439, 24309, 48619, 92377, 167959, 293929, 497419, 817189, 1307503, 2042974, 3124549, 4686824, 6906899, 10015004, 14307149, 20160074, 28048799, 38567099, 52451255, 70607459, 94143279 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Number of distinct n-digit numbers up to permutations of digits. - Michael Somos, Jul 11 2002

LINKS

Table of n, a(n) for n=0..27.

Michael Beeler, R. William Gosper and Rich Schroeppel, HAKMEM, ITEM 56, Cambridge, MA: Mass. Institute of Technology Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972, Item 56.

Eric Weisstein's World of Mathematics, Multiplicative Persistence.

FORMULA

G.f.: 1/(1-x)^10-1/(1-x). - Michael Somos, Jul 11 2002

MAPLE

binomial(10+n-1, n)-1;

MATHEMATICA

Table[Binomial[10 + n - 1, n] - 1, {n, 0, 27}] (* Michael De Vlieger, Jul 14 2015 *)

PROG

(PARI) a(n)=if(n<0, 0, binomial(n+9, 9)-1)

CROSSREFS

Equals A000582 - 1. Cf. A014553, A179239.

Sequence in context: A013567 A073974 A223927 * A250286 A059597 A023008

Adjacent sequences:  A035924 A035925 A035926 * A035928 A035929 A035930

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 31 23:27 EDT 2015. Contains 261257 sequences.