A219954 (A160414(n)-1)/4, n >= 1.

0, 2, 5, 12, 15, 24, 33, 56, 59, 68, 77, 104, 113, 140, 167, 240, 243, 252, 261, 288, 297, 324, 351, 432, 441, 468, 495, 576, 603, 684, 765, 992, 995, 1004, 1013, 1040, 1049, 1076, 1103, 1184, 1193, 1220, 1247, 1328, 1355, 1436

Offset: 1

Author

M. F. Hasler, Dec 01 2012

Keywords

• nonn

Comments

As is obvious from symmetry, for all n>=1 one has A160414(n) = 1 + a multiple of 4.

Partial sums of 3^A000120(n-1)-(n/2 if n=2^k), n>1.

Numbers whose first differences are in A160727. - Omar E. Pol, Dec 02 2012

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A160727.

Programs

Mathematica

A219954list[nmax_]:=Accumulate[Table[If[n==1,0,3^DigitCount[n-1,2,1]-If[IntegerQ[Log2[n]],n/2,0]],{n,nmax}]];A219954list[100] (* Paolo Xausa, Sep 01 2023 *)

PARI

my(s=-1,t(n)=3^norml2(binary(n-1))-if(n==(1<