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!)
A160986 Number of partitions of n where every part appears at least 16 times 1
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 4, 4, 5, 4, 7, 5, 7, 7, 8, 7, 10, 8, 10, 10, 13, 11, 14, 13, 16, 15, 17, 16, 20, 18, 20, 20, 23, 21, 24, 23, 29, 26, 29, 28, 33, 32, 34, 33, 38, 36, 40, 38, 43, 41, 44, 44, 52, 48, 53, 52, 61, 58 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,32

LINKS

R. H. Hardin, Table of n, a(n) for n=1..1000

FORMULA

a(n) ~ sqrt(Pi^2 + 6*c) * exp(sqrt((2*Pi^2/3 + 4*c)*n)) / (4*sqrt(3)*Pi*n), where c = Integral_{0..infinity} log(1 - exp(-x) + exp(-16*x)) dx = -1.312209464445062445181826558955439962980138911918364832857... . - Vaclav Kotesovec, Jan 05 2016

MATHEMATICA

nmax = 100; Rest[CoefficientList[Series[Product[1 + x^(16*k)/(1-x^k), {k, 1, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Nov 28 2015 *)

CROSSREFS

Sequence in context: A230773 A338732 A309026 * A287867 A023126 A329129

Adjacent sequences:  A160983 A160984 A160985 * A160987 A160988 A160989

KEYWORD

nonn

AUTHOR

R. H. Hardin Jun 01 2009

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 September 25 02:25 EDT 2021. Contains 347651 sequences. (Running on oeis4.)