A225324 Partition numbers of the form 4k.

56, 176, 792, 2436, 5604, 451276, 715220, 831820, 1300156, 2323520, 4087968, 7089500, 8118264, 12132164, 15796476, 26543660, 92669720, 118114304, 150198136, 190569292, 384276336, 483502844, 541946240, 761002156, 851376628, 1188908248, 1327710076, 1844349560

Offset

1,1

Comments

Intersection of A008586 and A000041.

Links

Paul Tek, Table of n, a(n) for n = 1..10000

Formula

a(n) = 4*A216258(n). - Omar E. Pol, May 08 2013

Example

56 is in the sequence because 4*14 = 56 and 56 is a partition number: p(11) = A000041(11) = 56.

Mathematica

Select[PartitionsP[Range[300]], Mod[#, 4] == 0 &] (* T. D. Noe, May 05 2013 *)

Prog

(PARI) for(n=9, 1e3, t=numbpart(n); if(t%4, , print1(t", "))) \\ Charles R Greathouse IV, May 08 2013

Crossrefs

Cf. A000041, A008586, A052001, A072871, A087183, A225325, A225326, A225327, A225358, A225360, A127544, A225361

Sequence in context: A044388 A044769 A154034 * A225358 A115620 A224108

Adjacent sequences: A225321 A225322 A225323 * A225325 A225326 A225327

Keyword

nonn

Author

Omar E. Pol, May 05 2013

Extensions

a(6)-a(28) from T. D. Noe, May 05 2013

Status

approved