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A054244 Number of partitions of n into distinct positive parts <= n, with parts combined by IOR (inclusive or). 2
1, 1, 5, 1, 5, 5, 109, 1, 5, 5, 109, 5, 109, 109, 32297, 1, 5, 5, 109, 5, 109, 109, 32297, 5, 109, 109, 32297, 109, 32297, 32297, 2147321017, 1, 5, 5, 109, 5, 109, 109, 32297, 5, 109, 109, 32297, 109, 32297, 32297, 2147321017, 5, 109, 109, 32297, 109, 32297 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

FORMULA

a(n)=A003465[A000120[n]]

EXAMPLE

a(3)=5 thus: 3 3+2 3+1 3+2+1 2+1 (with "+" meaning IOR)

MATHEMATICA

A003465[n_] := Sum[(-1)^k*Binomial[n, k]*2^(2^(n - k)), {k, 0, n}]/2; a[n_] := A003465[DigitCount[n, 2, 1]]; Table[a[n], {n, 1, 53}] (* Jean-Fran├žois Alcover, Nov 21 2012, from formula *)

CROSSREFS

Cf. A003465 (if duplicates are removed from the current sequence), A000120, A054243 (XOR version).

Cf. also A087079.

Sequence in context: A162797 A087232 A151780 * A093562 A081774 A103193

Adjacent sequences:  A054241 A054242 A054243 * A054245 A054246 A054247

KEYWORD

easy,nonn,nice

AUTHOR

Marc LeBrun, Feb 08 2000

STATUS

approved

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Last modified August 20 01:56 EDT 2017. Contains 290821 sequences.