cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A359481 Irregular triangle read by rows in which T(n,k) is one half of the number of overpartitions of n having k distinct parts, n>=1, k>=1.

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%I A359481 #20 Jun 11 2023 11:50:53
%S A359481 1,2,2,2,3,4,2,10,4,12,4,2,22,8,4,26,20,3,34,40,4,44,60,8,2,54,100,16,
%T A359481 6,58,148,40,2,74,208,80,4,88,268,160,4,88,388,240,16,5,110,468,416,
%U A359481 32,2,118,616,616,80,6,136,736,936,160,2,142,940,1296,320,6,162,1108,1816,576
%N A359481 Irregular triangle read by rows in which T(n,k) is one half of the number of overpartitions of n having k distinct parts, n>=1, k>=1.
%F A359481 T(n,k) = (1/2)*A235790(n,k).
%F A359481 T(n,k) = (2^(k-1))*A116608(n,k).
%e A359481 Triangle begins:
%e A359481   1;
%e A359481   2;
%e A359481   2,  2;
%e A359481   3,  4;
%e A359481   2, 10;
%e A359481   4, 12,   4;
%e A359481   2, 22,   8;
%e A359481   4, 26,  20;
%e A359481   3, 34,  40;
%e A359481   4, 44,  60,   8;
%e A359481   2, 54, 100,  16;
%e A359481   6, 58, 148,  40;
%e A359481   2, 74, 208,  80;
%e A359481   4, 88, 268, 160;
%e A359481   4, 88, 388, 240, 16;
%e A359481   ...
%Y A359481 Column 1 gives A000005.
%Y A359481 Row n has length A003056(n).
%Y A359481 Row sums give A014968, n >= 1.
%Y A359481 The first element of column k is A000079(k-1).
%Y A359481 The first element of column k is in row A000217(k).
%Y A359481 Cf. A116608, A235790.
%K A359481 nonn,tabf
%O A359481 1,2
%A A359481 _Omar E. Pol_, Mar 31 2023