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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A320378 Number of parts in all partitions of n with largest multiplicity eight. 2
8, 0, 9, 9, 19, 19, 40, 40, 81, 93, 140, 173, 267, 315, 461, 572, 779, 970, 1314, 1619, 2152, 2662, 3442, 4265, 5468, 6706, 8502, 10434, 13065, 15969, 19853, 24130, 29769, 36093, 44166, 53357, 64957, 78120, 94585, 113406, 136564, 163163, 195657, 232927, 278157 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..1000

FORMULA

a(n) ~ log(3) * exp(4*Pi*sqrt(n/3)/3) / (Pi * sqrt(2) * 3^(1/4) * n^(1/4)). - Vaclav Kotesovec, Oct 25 2018

MAPLE

b:= proc(n, i, k) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,

      add((l->l+[0, l[1]*j])(b(n-i*j, i-1, k)), j=0..min(n/i, k))))

    end:

a:= n-> (k-> (b(n$2, k)-b(n$2, k-1))[2])(8):

seq(a(n), n=8..50);

CROSSREFS

Column k=8 of A213177.

Sequence in context: A200018 A019937 A176460 * A228412 A260947 A070489

Adjacent sequences:  A320375 A320376 A320377 * A320379 A320380 A320381

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2018

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 August 4 16:59 EDT 2021. Contains 346454 sequences. (Running on oeis4.)