A059127 -id:A059127 - cp's OEIS frontend

A059126 A hierarchical sequence (W2{2} according to the description in the attached file - see link).

1, 2, 1, 3, 4, 3, 1, 2, 1, 5, 6, 5, 1, 2, 1, 3, 4, 3, 1, 2, 1, 7, 8, 7, 1, 2, 1, 3, 4, 3, 1, 2, 1, 5, 6, 5, 1, 2, 1, 3, 4, 3, 1, 2, 1, 9, 10, 9, 1, 2, 1, 3, 4, 3, 1, 2, 1, 5, 6, 5, 1, 2, 1, 3, 4, 3, 1, 2, 1, 7, 8, 7, 1, 2, 1, 3, 4, 3, 1, 2, 1, 5, 6, 5, 1, 2, 1, 3, 4, 3, 1, 2, 1, 11, 12, 11, 1, 2, 1, 3, 4, 3

Offset: 0

Jonas Wallgren, Jan 19 2001

Antti Karttunen, Table of n, a(n) for n = 0..12287
J. Wallgren, Hierarchical sequences

Cf. A001511, A059127, A059128, A059129, A059132, A059133.

Array[IntegerExponent[2 #, 2] /. k_ :> ({# - 1, #, # - 1} &[2 k]) &, 36] // Flatten (* Michael De Vlieger, Nov 02 2018 *)

a(3n+1) = 2*A001511(1+n), a(3n) = a(3n+2) = a(3n+1) - 1. - Antti Karttunen, May 28 2017

A059134 A hierarchical sequence (W2{3}c - see A059126).

Original entry on oeis.org

11, 32, 11, 53, 11, 32, 11, 74, 11, 32, 11, 53, 11, 32, 11, 95, 11, 32, 11, 53, 11, 32, 11, 74, 11, 32, 11, 53, 11, 32, 11, 116, 11, 32, 11, 53, 11, 32, 11, 74, 11, 32, 11, 53, 11, 32, 11, 95, 11, 32, 11, 53, 11, 32, 11, 74, 11, 32, 11, 53, 11, 32, 11, 137, 11, 32, 11, 53, 11

Offset: 0

Jonas Wallgren, Jan 19 2001

Jonas Wallgren, Hierarchical sequences

Cf. A059126, A059127.

Cf. A059141 (7*p+11), A059144 (9*p+15), A220466. - Johannes W. Meijer, Jan 21 2013

nmax:=68: for p from 0 to ceil(simplify(log[2](nmax))) do for n from 0 to ceil(nmax/(p+2))+1 do a((2*n+1)*2^p-1) := 21*p+11 od: od: seq(a(n), n=0..nmax); # Johannes W. Meijer, Jan 21 2013

a((2*n+1)*2^p-1) = 21*p+11 for p >= 0. - Johannes W. Meijer, Jan 21 2013

a(n) = Sum_{k=0..6} A059127(7*n+k). - Sean A. Irvine, Sep 12 2022

A059135 A hierarchical sequence (S(W2{3}c) - see A059126).

Original entry on oeis.org

11, 54, 161, 396, 887, 1890, 3917, 7992, 16163, 32526, 65273, 130788, 261839, 523962, 1048229, 2096784, 4193915, 8388198, 16776785, 33553980, 67108391, 134217234, 268434941, 536870376, 1073741267, 2147483070, 4294966697, 8589933972, 17179868543, 34359737706

Offset: 0

Jonas Wallgren, Jan 19 2001

nonn

Jonas Wallgren, Hierarchical sequences
Index entries for linear recurrences with constant coefficients, signature (4, -5, 2).

Cf. A059126, A059127.

Conjectures from Colin Barker, Oct 07 2015: (Start)
a(n) = -53 + 2^(6+n) - 21*n.
a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n > 2.
G.f.: -(10*x+11) / ((x-1)^2*(2*x-1)).
(End)
a(n) = a(n-1) + Sum_{k=0..7*2^n-1} A059127(7*2^n-7+k) with a(-1)=0. - Sean A. Irvine, Sep 12 2022

More terms from Sean A. Irvine, Sep 12 2022

cp's OEIS Frontend

A059126 A hierarchical sequence (W2{2} according to the description in the attached file - see link).

Views

Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

A059134 A hierarchical sequence (W2{3}c - see A059126).

Views

Author

Keywords

Links

Crossrefs

Programs

Maple

Formula

A059135 A hierarchical sequence (S(W2{3}c) - see A059126).

Views

Author

Keywords

Links

Crossrefs

Formula

Extensions