login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035927 One less than number of n-multisets chosen from a 10-set. 7
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 Richard C. 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.

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

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: A073974 A223927 A307045 * A250286 A289254 A059597

Adjacent sequences:  A035924 A035925 A035926 * A035928 A035929 A035930

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 15 17:03 EST 2019. Contains 330000 sequences. (Running on oeis4.)