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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A035927 One less than number of n-multisets chosen from a 10-set. 6
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.

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: A013567 A073974 A223927 * A250286 A059597 A023008

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 9 20:00 EST 2016. Contains 278986 sequences.