A361443 a(n) is the first term of the n-th row of A361442.

0, 1, 2, 3, 5, 6, -2, 9, 10, 7, 16, -10, 24, 14, 17, 22, -13, -29, -16, -18, -25, -24, -20, -27, -35, 12, -30, -42, -22, -36, -40, -43, -44, -45, -46, 21, 35, 28, 32, 38, 27, 37, 41, 30, 50, 46, 55, 51, 56, 39, 74, 54, 73, 67, 57, 78, 71, 59, 61, 80, 68, 79

Offset

0,3

Comments

The n-th row of A361442 is uniquely determined by its initial term and, provided n > 0, the prior row.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..4999

Rémy Sigrist, PARI program

Formula

a(n) = A361442(n, 0).

A361442(n, k) = (-1)^k * Sum_{i = 0..k} binomial(k, i) * a(n-i).

Example

a(4) = A361442(4, 0) = 5.

Prog

(PARI) See Links section.

Crossrefs

Cf. A361442.

Sequence in context: A291486 A177870 A094872 * A201744 A349957 A152206

Adjacent sequences: A361440 A361441 A361442 * A361444 A361445 A361446

Keyword

sign

Author

Rémy Sigrist, Mar 12 2023

Status

approved