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a(n) is the first term of the n-th row of A361442.
2

%I #10 Mar 14 2023 03:44:06

%S 0,1,2,3,5,6,-2,9,10,7,16,-10,24,14,17,22,-13,-29,-16,-18,-25,-24,-20,

%T -27,-35,12,-30,-42,-22,-36,-40,-43,-44,-45,-46,21,35,28,32,38,27,37,

%U 41,30,50,46,55,51,56,39,74,54,73,67,57,78,71,59,61,80,68,79

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

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

%H Rémy Sigrist, <a href="/A361443/b361443.txt">Table of n, a(n) for n = 0..4999</a>

%H Rémy Sigrist, <a href="/A361443/a361443.gp.txt">PARI program</a>

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

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

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

%o (PARI) See Links section.

%Y Cf. A361442.

%K sign

%O 0,3

%A _Rémy Sigrist_, Mar 12 2023