A131439 Inverse binomial transform of A131438 (assuming zero offset in both sequences)

1, 7, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86, 90, 94, 98, 102, 106, 110, 114, 118, 122, 126, 130, 134, 138, 142, 146, 150, 154, 158, 162, 166, 170, 174, 178, 182

Offset

1,2

Comments

Conjecture: The sequence appears to be (1, 7, ...) followed by 4k + 14; k=0,1,2,...; thus: (1, 7, 14, 18, 22, 26, ...).

Inverse binomial transform of this sequence = (1, 6, 1, -4, 7, -10, 13, -16, 19, -22, ...).

Links

Table of n, a(n) for n=1..45.

Formula

A007318^(-1) * A131438.

a(n) = 2*a(n-1) - a(n-2) for n>4. G.f.: -x*(x+1)*(3*x^2-4*x-1) / (x-1)^2. [Colin Barker, Jan 06 2013]

Example

(1, 3, 3, 1) dot (1, 7, 14, 18) = 82 = A131438(4).

Crossrefs

Cf. A131436, A131437, A131438.

Sequence in context: A178732 A025021 A326767 * A213604 A102041 A232488

Adjacent sequences: A131436 A131437 A131438 * A131440 A131441 A131442

Keyword

nonn

Author

Gary W. Adamson, Jul 11 2007

Status

approved