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A079032 Smallest nontrivial partition number divisible by the n-th partition number. 0
2, 22, 15, 15, 42, 22, 30, 176, 133230930, 2436, 8118264, 231, 413766180933342362, 31185, 118114304, 31185, 31185, 31185, 670448123060170, 426088638015652413417, 1973678121921532286407950000, 133230930 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

a(5)=42 because the 5th partition number is 7 and the next partition number divisible by 7 is 42.

MAPLE

with(combinat): a:=proc(n) local S, j: S:={}: for j from n+1 to 800 do if type(numbpart(j)/numbpart(n), integer)=true then S:=S union {numbpart(j)} else S:=S fi: od: min(seq(S[i], i=1..nops(S))): end: seq(a(n), n=1..25); # Emeric Deutsch, May 16 2006

PROG

(PARI) a(n)=if(n<0, 0, s=n+1; while(polcoeff(1/eta(x), s)%polcoeff(1/eta(x), n)>0, s++); polcoeff(1/eta(x), s))

CROSSREFS

Cf. A000041.

Sequence in context: A336324 A335886 A141236 * A325485 A284063 A153826

Adjacent sequences:  A079029 A079030 A079031 * A079033 A079034 A079035

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Feb 01 2003

EXTENSIONS

More terms from Emeric Deutsch, May 16 2006

STATUS

approved

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Last modified June 27 22:08 EDT 2022. Contains 354898 sequences. (Running on oeis4.)