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A347730 Number of compositions (ordered partitions) of n into at most 2 triangular numbers. 5

%I #7 Jan 06 2024 01:38:05

%S 1,1,1,1,2,0,2,2,0,2,1,2,1,2,0,1,4,0,2,0,1,3,2,0,2,2,0,2,1,2,1,4,0,0,

%T 2,0,3,2,2,2,0,0,3,2,0,1,4,0,2,2,0,4,0,0,0,3,3,2,2,0,2,2,0,0,2,2,3,2,

%U 0,2,2,0,3,2,0,0,4,0,1,2

%N Number of compositions (ordered partitions) of n into at most 2 triangular numbers.

%F a(n) = c(n) + Sum_{k=1..n-1} c(k) * c(n-k), where c = A010054. - _Wesley Ivan Hurt_, Jan 06 2024

%Y Cf. A000217, A010054, A023361, A053603, A347731, A347732, A347733, A347734.

%K nonn,easy

%O 0,5

%A _Ilya Gutkovskiy_, Sep 11 2021

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Last modified May 8 15:11 EDT 2024. Contains 372340 sequences. (Running on oeis4.)