A132207 -id:A132207 - cp's OEIS frontend

A154129 a(n) = (A132207(n)-1)/3.

0, 1, 2, 6, 3, 7, 4, 8, 5, 9, 10, 26, 11, 27, 12, 28, 13, 29, 14, 30, 15, 31, 16, 32, 17, 33, 18, 34, 19, 35, 20, 36, 21, 37, 22, 38, 23, 39, 24, 40, 25, 41, 42, 106, 43, 107, 44, 108, 45, 109, 46, 110, 47, 111, 48, 112, 49, 113, 50, 114, 51, 115, 52, 116, 53, 117, 54, 118, 55, 119, 56, 120, 57, 121, 58, 122, 59

Offset: 0

Omar E. Pol, Jan 05 2009

Cf. A132207.

A132207 := proc(n)
        L := [] ;
        for k from 0 to (2*4^n-1)/2 do
                L := [op(L),2*4^n+3*k-1,5*4^n+3*k-1] ;
        end do:
end proc:
for n from 0 to 3 do
        L := A132207(n) ;
        for l in L do
                printf("%d,",(l-1)/3) ;
        end do:
end do:
# R. J. Mathar, Sep 26 2011

A156760 5*4^n-1.

Original entry on oeis.org

4, 19, 79, 319, 1279, 5119, 20479, 81919, 327679, 1310719, 5242879, 20971519, 83886079, 335544319, 1342177279, 5368709119, 21474836479, 85899345919, 343597383679, 1374389534719, 5497558138879, 21990232555519, 87960930222079, 351843720888319

Offset: 0

Paul Curtz, Feb 15 2009

Second column of the array A132207, or, if this array is flattened, a(n)=A132207(A007583(n)).

			Binary.......................................Decimal
100................................................4
10011.............................................19
1001111...........................................79
100111111........................................319
10011111111.....................................1279
1001111111111...................................5119
100111111111111................................20479
10011111111111111..............................81919
1001111111111111111...........................327679
100111111111111111111........................1310719
10011111111111111111111......................5242879
1001111111111111111111111...................20971519
100111111111111111111111111.................83886079
10011111111111111111111111111..............335544319
1001111111111111111111111111111...........1342177279
... - _Philippe Deléham_, Feb 23 2014

Vincenzo Librandi, Table of n, a(n) for n = 0..500

[5*4^n-1: n in [0..30]]; // Vincenzo Librandi, Jul 02 2011

Table[5*4^n - 1, {n, 0, 18}] (* Michael De Vlieger, Apr 20 2015 *)

a(n) mod 9 = A070403(n+2).
a(n+1) = 10*A083420(n)+9 .
a(n) = 5*A000302(n)-1.
a(n) = ( A024036(n+1)+A140529(n) )/2.
a(n) = 4a(n-1)+3, a(0)=4.
a(n) = A003947(n+1)-1 = 5*a(n-1)-4*a(n-2). G.f.: (4-x)/((1-x)(1-4x)). - R. J. Mathar, Feb 23 2009
a(n) = A198693(n) + 2^(2n+1). - Bob Selcoe, Apr 20 2015

Edited and extended by R. J. Mathar, Feb 23 2009

cp's OEIS Frontend

A154129 a(n) = (A132207(n)-1)/3.

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A156760 5*4^n-1.

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