A237449 a(n) = n - A236855(n).

0, 0, 1, 1, 1, 4, 4, 5, 5, 5, 7, 7, 7, 7, 13, 13, 14, 14, 14, 17, 17, 18, 18, 18, 20, 20, 20, 20, 25, 25, 26, 26, 26, 28, 28, 28, 28, 31, 31, 31, 31, 31, 41, 41, 42, 42, 42, 45, 45, 46, 46, 46, 48, 48, 48, 48, 54, 54, 55, 55, 55, 58, 58, 59, 59, 59, 61, 61, 61, 61

Offset

0,6

Links

Antti Karttunen, Table of n, a(n) for n = 0..16796

Formula

a(n) = n - A236855(n).

Mathematica

A236855list[m_] := With[{r = 2*Range[2, m]-1}, Reverse[Map[Total[r-#] &, Select[Subsets[Range[2, 2*m-1], {m-1}], Min[r-#] >= 0 &]]]];
With[{m = 6}, Range[0, CatalanNumber[m]-1] - A236855list[m]] (* Generates C(m) terms *) (* Paolo Xausa, Feb 20 2024 *)

Prog

(Scheme) (define (A237449 n) (- n (A236855 n)))

Crossrefs

Cf. A236855, A239903, A236859.

Cf. also A011371, A219641, A219651, A227190, A227191, A236840.

Sequence in context: A140341 A332609 A244234 * A003869 A065864 A120205

Adjacent sequences: A237446 A237447 A237448 * A237450 A237451 A237452

Keyword

nonn

Author

Antti Karttunen, Apr 18 2014

Status

approved