Search: id:A002471 Results 1-1 of 1 results found. %I A002471 M0073 N0025 %S A002471 0,1,2,1,1,2,2,1,1,0,3,2,1,2,1,1,2,2,2,2,2,1,3,1,0,1,3, %T A002471 2,2,2,1,3,2,0,2,1,1,4,2,1,3,2,2,2,2,1,4,2,1,1,2,2,3,3, %U A002471 1,3,2,0,3,2,1,4,2,0,2,3,3,4,2,1,3,3,2,1,3,1,4,2,2,3,1 %N A002471 Number of partitions of n into a prime and a square. %C A002471 a(A014090(n))=0; a(A014089(n))>0; a(A143989(n))=1. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 07 2008] %D A002471 Selmer, Ernst S.; Eine numerische Untersuchung ueber die Darstellung der natuerlichen Zahlen als Summe einer Primzahl und einer Quadratzahl. Arch. Math. Naturvid. 47, (1943). no. 2, 21-39. %D A002471 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). %D A002471 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A002471 T. D. Noe, Table of n, a(n) for n = 1..10000 %p A002471 n->nops(select(isprime,[ seq(n-i^2,i=0..trunc(sqrt(n))) ])): %p A002471 with(combstruct): specM0073 := {N=Prod(P, S),P=Set(Z,card>=1), S=Set(Z, card>=0)}: `combstruct/compile`(specM0073,unlabeled): `combstruct/ Count`[ specM0073,unlabeled ][ P ] := proc(p) option remember; if isprime(p) then 1 else 0 fi end: `combstruct/Count`[ specM0073,unlabeled ][ S ] := proc(p) option remember; if type(sqrt(p), integer) then 1 else 0 fi end: M0073 := n->count([ N,specM0073,unlabeled ],size=n): %Y A002471 A064272. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Sep 07 2008] %Y A002471 Sequence in context: A034798 A115236 A064286 this_sequence A091243 A037826 A079882 %Y A002471 Adjacent sequences: A002468 A002469 A002470 this_sequence A002472 A002473 A002474 %K A002471 nonn,nice %O A002471 1,3 %A A002471 N. J. A. Sloane (njas(AT)research.att.com). %E A002471 Sequence corrected by Paul Zimmermann Mar 15 1996 Search completed in 0.001 seconds