A157334 -id:A157334 - cp's OEIS frontend

A157339 Quadrisection A157334(4n+3).

5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 43, 5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 44, 5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 43, 5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 47, 5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 43, 5, 6, 5, 15, 5, 6, 5, 19, 5, 6, 5, 15, 5, 6, 5, 44

Offset: 0

Paul Curtz, Feb 27 2009

nonn

The sequence of the first differences of a quadrisection of A157276, that is A157276(4n+4)-A157276(4n), has the same first 15 terms as this sequence here, and then starts to differ.

Cf. A157276, A157334.

Edited and extended by R. J. Mathar, Apr 10 2009

A157644 Indices of 3's in A090822.

Original entry on oeis.org

9, 18, 28, 37, 41, 45, 46, 56, 65, 75, 84, 88, 92, 93, 97, 107, 116, 126, 135, 139, 143, 144, 154, 163, 173, 182, 186, 190, 191, 195, 199, 203, 204, 208, 212, 216, 217, 218, 219, 229, 238, 248, 257, 261, 265, 266, 276, 285, 295, 304, 308, 312, 313, 317, 327, 336, 346, 355

Offset: 1

Paul Curtz, Mar 03 2009

nonn

There is a group a(i+39) = a(i)+220 for i=1,..,39, then a group a(i+39)=a(i)+220 for i=40,...,78; these correlations become irregular later in the sequence.

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Cf. A157334, A107223, A157645.

Clear[a]; reversed = {a[2] = 1, a[1] = 1}; blocs[len_] := Module[{bloc1, par, pos}, bloc1 = Take[reversed, len]; par = Partition[reversed, len]; pos = Position[par, bloc_ /; bloc != bloc1, 1, 1]; If[pos == {}, Length[par], pos[[1, 1]] - 1]]; a[n_] := a[n] = Module[{an}, an = Table[{blocs[len], len}, {len, 1, Quotient[n - 1, 2]}] // Sort // Last // First; PrependTo[reversed, an]; an]; Position[Table[a[n], {n, 1, 355}], 3] // Flatten (* Jean-François Alcover, Mar 25 2013 *)

Extended by R. J. Mathar, Mar 15 2009

A157645 A157644(n+39)-A157644(n).

Original entry on oeis.org

220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 220, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221, 221

Offset: 1

Paul Curtz, Mar 03 2009

39 220's, then 39 221's, then 40 220's, then 2 215's, then one 214, then one 215, then 2 220's...

Cf. A157334.

Keyword:less added by R. J. Mathar, Nov 22 2009

cp's OEIS Frontend

A157339 Quadrisection A157334(4n+3).

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A157644 Indices of 3's in A090822.

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A157645 A157644(n+39)-A157644(n).

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