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 A261016 a(n) = Sum_{k=0..2^n-1} k*A261015(n,k). 5
 1, 6, 18, 46, 107, 241, 535, 1178, 2569, 5546, 11859, 25156, 53058, 111379, 232966, 486023, 1012185, 2104729, 4370644, 9064924, 18778766, 38856079, 80307630, 165790125, 341872016, 704171185, 1448812630, 2977673003, 6113469501, 12538958895, 25693167881, 52598980642 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The scaled values a(n)/2^n are (to nine decimal places) 0.5000000000, 1.500000000, 2.250000000, 2.875000000, 3.343750000, 3.765625000, 4.179687500, 4.601562500, 5.017578125, 5.416015625, 5.790527344, 6.141601562, 6.476806641, 6.798034668, 7.109558105, 7.416122437, 7.722358704, 8.028903961, 8.336341858, 8.644985199, 8.954413414, 9.264011145, 9.573415518, 9.881861508, 10.18858004, 10.49296834, 10.79449527, 11.09269635, 11.38722431, 11.67781548, 11.96431363, 12.24665452, ... LINKS Alois P. Heinz and Hiroaki Yamanouchi, Table of n, a(n) for n = 1..58 (a(1)-a(36) from Alois P. Heinz) MATHEMATICA (* This program is not suitable to compute more than a dozen terms. *) notVis[bits_] := For[i = 0, True, i++, If[SequencePosition[bits, IntegerDigits[i, 2]] == {}, Return[i]]]; T[n_, k_] := Select[Rest[IntegerDigits[#, 2]] & /@ Range[2^n, 2^(n+1) - 1], notVis[#] == k &] // Length; a[n_] := Sum[k*T[n, k], {k, 0, 2^n - 1}]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 1, 12}] (* Jean-François Alcover, Aug 02 2018 *) PROG (Haskell) a261016 = sum . zipWith (*) [0..] . a261019_row' -- Reinhard Zumkeller, Aug 18 2015 CROSSREFS Cf. A261019, A261015, A260273. Sequence in context: A305031 A031128 A304161 * A328890 A188379 A299268 Adjacent sequences: A261013 A261014 A261015 * A261017 A261018 A261019 KEYWORD nonn AUTHOR N. J. A. Sloane, Aug 16 2015 EXTENSIONS a(5)-a(16) from Alois P. Heinz, Aug 17 2015 a(17)-a(25) from Reinhard Zumkeller, Aug 18 2015 a(26)-a(32) from Alois P. Heinz, Aug 19 2015 STATUS approved

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Last modified April 14 10:04 EDT 2024. Contains 371657 sequences. (Running on oeis4.)