This site is supported by donations to The OEIS Foundation.

 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!)
 A053113 Expansion of (-1 + 1/(1-10*x)^10)/(100*x); related to A053109. 4
 1, 55, 2200, 71500, 2002000, 50050000, 1144000000, 24310000000, 486200000000, 9237800000000, 167960000000000, 2939300000000000, 49742000000000000, 817190000000000000, 13075040000000000000, 204297500000000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This is the tenth member of the k-family of sequences a(k,n) := k^(n-1)*binomial(n+k,k-1) starting with A000012 (powers of 1), A001792, A036068, A036070, A036083, A036224, A053110-113 for k=1..10. LINKS G. C. Greubel, Table of n, a(n) for n = 0..400 W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4. FORMULA a(n) = 10^(n-1)*binomial(n+10, 9). G.f.: (-1 + (1-10*x)^(-10))/(x*10^2). MATHEMATICA Table[10^(n - 1)*Binomial[n + 10, 9], {n, 0, 30}] (* G. C. Greubel, Aug 16 2018 *) PROG (PARI) vector(30, n, n--; 10^(n-1)*binomial(n+10, 9)) \\ G. C. Greubel, Aug 16 2018 (MAGMA) [10^(n-1)*Binomial(n+10, 9): n in [0..30]]; // G. C. Greubel, Aug 16 2018 CROSSREFS Sequence in context: A275942 A217758 A240687 * A012048 A215860 A020536 Adjacent sequences:  A053110 A053111 A053112 * A053114 A053115 A053116 KEYWORD easy,nonn 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 December 11 23:44 EST 2019. Contains 329945 sequences. (Running on oeis4.)