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 A049501 Major index of n, first definition. 10
 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 4, 1, 2, 2, 3, 0, 1, 1, 5, 1, 4, 4, 5, 1, 2, 2, 6, 2, 3, 3, 4, 0, 1, 1, 6, 1, 5, 5, 6, 1, 4, 4, 9, 4, 5, 5, 6, 1, 2, 2, 7, 2, 6, 6, 7, 2, 3, 3, 8, 3, 4, 4, 5, 0, 1, 1, 7, 1, 6, 6, 7, 1, 5, 5, 11, 5, 6, 6, 7, 1, 4, 4, 10, 4, 9, 9, 10, 4, 5, 5, 11, 5, 6, 6, 7, 1, 2, 2, 8, 2, 7, 7, 8 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 REFERENCES D. M. Bressoud, Proofs and Confirmations, Camb. Univ. Press, 1999; cf. p. 89. LINKS J. Stauduhar, Table of n, a(n) for n = 0..10000 FORMULA Write n in binary; sum the positions where there is a '1' followed immediately to the right by a '0', counting the leftmost digit as position '1'. EXAMPLE 50 = 110010 has 1's followed by 0's in positions 2 and 5 (reading from the left), so a(50)=7. At the beginning of the sequence we have 0->0, 1->0, 10->1, 11->0, 100->1, 101->1, 110->2, 111->0, 1000->1, 1001->1, 1010->1+3=4, ... MATHEMATICA a[n_] := Total[ Flatten[ Position[ IntegerDigits[n, 2] //. {b___, 1, 0, c___} -> {b, 2, 3, c}, 2]]]; Table[a[n], {n, 0, 102}] (* Jean-François Alcover, Dec 20 2011 *) Table[Total[Flatten[Position[Partition[IntegerDigits[n, 2], 2, 1], {1, 0}]]], {n, 0, 110}] (* Harvey P. Dale, Nov 04 2012 *) CROSSREFS Cf. A049502. Sequence in context: A283272 A292166 A282192 * A102564 A215703 A292712 Adjacent sequences:  A049498 A049499 A049500 * A049502 A049503 A049504 KEYWORD nonn,base,nice,easy AUTHOR EXTENSIONS More terms from Erich Friedman, Feb 19 2000 STATUS approved

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Last modified September 23 19:41 EDT 2020. Contains 337315 sequences. (Running on oeis4.)