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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 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 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 November 12 13:36 EST 2018. Contains 317109 sequences. (Running on oeis4.)