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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
Sequence in context: A305031 A031128 A304161 * A328890 A188379 A299268
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.)