A052341 Shifts left two places under BIN1 transform.

1, 1, 1, -3, 7, -11, 17, -27, 45, -75, 123, -199, 321, -519, 841, -1363, 2207, -3571, 5777, -9347, 15125, -24475, 39603, -64079, 103681, -167759, 271441, -439203, 710647, -1149851, 1860497, -3010347, 4870845, -7881195, 12752043, -20633239

Offset

0,4

Links

Table of n, a(n) for n=0..35.

Formula

BIN1 sends a to b where b(n) = (-1)^n Sum_{i=0..n} C(n+1, i+1) a(i).

G.f.: (x^4+4*x^3+7*x^2+4*x+1)/((1+x)*(1+x-x^2)*(1+x+x^2)). [sign corrected by Georg Fischer, Apr 15 2020]

Mathematica

CoefficientList[Series[(x^4+4*x^3+7*x^2+4*x+1)/((1+x)*(1+x-x^2)*(1+x+x^2)), {x, 0, 45}], x] (* Georg Fischer, Apr 15 2020 *)

Crossrefs

Sequence in context: A350146 A194069 A088206 * A038949 A106967 A045420

Adjacent sequences: A052338 A052339 A052340 * A052342 A052343 A052344

Keyword

sign,eigen

Author

Christian G. Bower, Jan 09 2000

Status

approved