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A027185 Triangular array O by rows: O(n,k) = number of partitions of n into an odd number of parts, the least being k. 2

%I #9 Oct 18 2019 07:58:21

%S 1,0,1,1,0,1,1,0,0,1,3,0,0,0,1,3,1,0,0,0,1,6,1,0,0,0,0,1,7,2,0,0,0,0,

%T 0,1,12,2,1,0,0,0,0,0,1,14,4,1,0,0,0,0,0,0,1,22,4,2,0,0,0,0,0,0,0,1,

%U 27,6,2,1,0,0,0,0,0,0,0,1,40,7,3,1,0,0,0,0,0,0

%N Triangular array O by rows: O(n,k) = number of partitions of n into an odd number of parts, the least being k.

%F O(n, k) = E(n-k, k)+E(n-k, k+1)+...+E(n-k, n-k), for 2<=2k<=n, E given by A027186.

%F T(n,k) + A027186(n,k) = A026794(n,k). - _R. J. Mathar_, Oct 18 2019

%e 1,

%e 0, 1,

%e 1, 0, 1,

%e 1, 0, 0, 1,

%e 3, 0, 0, 0, 1,

%e 3, 1, 0, 0, 0, 1,

%e 6, 1, 0, 0, 0, 0, 1,

%e 7, 2, 0, 0, 0, 0, 0, 1,

%e 12, 2, 1, 0, 0, 0, 0, 0, 1,

%e 14, 4, 1, 0, 0, 0, 0, 0, 0, 1,

%e 22, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1,

%e 27, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1,

%e 40, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1,

%Y Cf. A027186.

%K nonn,tabl

%O 1,11

%A _Clark Kimberling_

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Last modified May 11 11:07 EDT 2024. Contains 372409 sequences. (Running on oeis4.)