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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A229361 Total sum of n-th powers of parts in all partitions of 10. 2
192, 420, 1494, 7686, 49218, 358710, 2838234, 23736846, 206418978, 1846772550, 16877063274, 156755849406, 1474458820338, 14008019814390, 134151794416314, 1293111887664366, 12531051927887298, 121969635737464230, 1191547891970937354, 11676481763813277726 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

FORMULA

a(n) = Sum_{k=1..10} A066633(10,k) * k^n.

a(n) = 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n.

G.f.: -6*(79272960*x^9 -165073604*x^8 +144452636*x^7 -70246061*x^6 +21041460*x^5 -4044664*x^4 +500814*x^3 -38639*x^2 +1690*x -32) / Product_{j=1..10} (j*x-1).

MAPLE

a:= n-> 97+41*2^n+21*3^n+13*4^n+8*5^n+5*6^n+3*7^n+2*8^n+9^n+10^n:

seq(a(n), n=0..30);

CROSSREFS

Row n=10 of A213191.

Sequence in context: A234135 A030632 A189987 * A232940 A254854 A254847

Adjacent sequences:  A229358 A229359 A229360 * A229362 A229363 A229364

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 20 2013

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 4 02:40 EST 2021. Contains 349469 sequences. (Running on oeis4.)