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A046064 Not a product of partition numbers (A000041). 2
13, 17, 19, 23, 26, 29, 31, 34, 37, 38, 39, 41, 43, 46, 47, 51, 52, 53, 57, 58, 59, 61, 62, 65, 67, 68, 69, 71, 73, 74, 76, 78, 79, 82, 83, 85, 86, 87, 89, 91, 92, 93, 94, 95, 97, 102, 103, 104, 106, 107, 109, 111, 113, 114, 115, 116, 117, 118, 119, 122, 123, 124, 127 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

G. K. Patil, Ramanujan's Life And His Contributions In The Field Of Mathematics, International Journal of Scientific Research and Engineering Studies (IJSRES), Volume 1 Issue 6, December 2014, ISSN: 2349-8862; http://www.ijsres.com/2014/vol-1_issue-6/paper_8.pdf

LINKS

Table of n, a(n) for n=1..63.

Eric Weisstein's World of Mathematics, Abelian Group.

Eric Weisstein's World of Mathematics, Partition Function PCongruences.

MAPLE

with(combinat): A000041:=proc(n) options remember: RETURN(numbpart(n)): end: partdiv:=proc(m, i) local j, q, f: f:=0: for j from i by -1 to 2 while(f=0) do if(irem(m, A000041(j))=0) then q:=iquo(m, A000041(j)): if(q=1) then RETURN(1) else f:=partdiv(q, j) fi fi od: RETURN(f): end: for i from 2 to 14 do for n from A000041(i) to A000041(i+1)-1 do m:=partdiv(n, i): if m=0 then printf("%d, ", n) fi od od: # C. Ronaldo

CROSSREFS

Cf. A000041, A046056, A046063, A033637.

Sequence in context: A052055 A272119 A075761 * A322274 A008365 A132077

Adjacent sequences:  A046061 A046062 A046063 * A046065 A046066 A046067

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified May 26 17:40 EDT 2020. Contains 334630 sequences. (Running on oeis4.)