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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
D. Applegate, M. LeBrun, N. J. A. Sloane, Dismal Arithmetic, J. Int. Seq. 14 (2011) # 11.9.8.
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-François 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
KEYWORD
easy,nonn,nice
AUTHOR
Marc LeBrun, Feb 08 2000
STATUS
approved

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Last modified July 19 01:31 EDT 2024. Contains 374388 sequences. (Running on oeis4.)