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 A211676 Number of n-bit numbers in A077436. 1
 1, 1, 2, 3, 4, 5, 6, 9, 14, 24, 37, 63, 93, 162, 233, 376, 582, 921, 1497, 2435, 4007, 6696, 10998, 18310, 30340, 50792, 84897, 143079, 239266, 401652, 673887, 1131226, 1900203, 3197114, 5373366, 9039360, 15208992, 25592325, 43064747, 72494816, 122025100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS That is, the number of binary numbers b having n bits and B(b) = B(b^2), where the function B gives the number of ones in a binary number. For numbers written in base 10, the corresponding sequence is A147523. LINKS Table of n, a(n) for n=0..40. MATHEMATICA Join[{1}, Table[cnt = 0; Do[If[Total[IntegerDigits[i, 2]] == Total[IntegerDigits[i^2, 2]], cnt++], {i, 2^(n-1), 2^n-1}]; cnt, {n, 15}]] CROSSREFS Cf. A077436, A147523. Sequence in context: A346074 A211697 A357570 * A076299 A341015 A136683 Adjacent sequences: A211673 A211674 A211675 * A211677 A211678 A211679 KEYWORD nonn,hard,base AUTHOR T. D. Noe, Apr 27 2012 EXTENSIONS a(28)-a(38) from Donovan Johnson, Apr 29 2012 a(39)-a(40) from Donovan Johnson, Aug 25 2012 STATUS approved

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Last modified June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)