A307149 Number of binary partitions of n in which exactly two of the powers of 2 are used an odd number of times.

0, 0, 0, 1, 0, 2, 1, 3, 1, 5, 3, 7, 4, 10, 7, 12, 8, 17, 13, 21, 16, 28, 23, 32, 27, 42, 37, 48, 44, 60, 56, 66, 64, 83, 81, 93, 94, 114, 115, 124, 131, 152, 159, 166, 182, 198, 214, 212, 241, 254, 283, 274, 320, 322, 368, 342, 412, 402, 472, 428, 528, 494

Offset

0,6

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..10000

George E. Andrews and Jim Lawrence, Binary partitions and binary partition polytopes, preprint.

George E. Andrews and Jim Lawrence, Binary partitions and binary partition polytopes, Aequationes mathematicae 91.5 (2017): 859-869.

Mathematica

Clear[L]; L[m_, n_] := L[m, n] = If[n == 0, If[m == 0, 1, 0], If[EvenQ[n] && n >= 2, L[m, n - 2] + L[m, n/2], If[m >= 1, L[m - 1, n - 1], 0]]]; Table[L[2, n], {n, 0, 100}] (* Vaclav Kotesovec, Mar 29 2019 *)

Crossrefs

Cf. A000123, A307148.

Sequence in context: A283464 A323184 A102614 * A276421 A330547 A338357

Adjacent sequences: A307146 A307147 A307148 * A307150 A307151 A307152

Keyword

nonn

Author

N. J. A. Sloane, Mar 28 2019

Extensions

More terms from Vaclav Kotesovec, Mar 29 2019

Status

approved