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.

A211977 Triangle read by rows, T(n,k) = spt_k(n), in which column k lists the k-th order spt-function (without the first k-1 zeros), n >= 1, k >= 1.

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%I A211977 #15 Dec 19 2021 12:53:34
%S A211977 1,3,1,5,5,1,10,15,7,1,14,35,28,9,1,26,75,85,45,11,1,35,140,217,166,
%T A211977 66,13,1,57,259,497,505,287,91
%N A211977 Triangle read by rows, T(n,k) = spt_k(n), in which column k lists the k-th order spt-function (without the first k-1 zeros), n >= 1, k >= 1.
%C A211977 The triangle arises from a table due to F. G. Garvan (See the Garvan's paper, page 19).
%H A211977 F. G. Garvan, <a href="http://www.math.ufl.edu/~fgarvan/papers/hspt.pdf">Higher order spt-functions</a>. See page 19.
%H A211977 F. G. Garvan, <a href="https://doi.org/10.1016/j.aim.2011.05.013">Higher-order spt functions</a>, Adv. Math. 228 (2011), no. 1, 241-265.
%e A211977 Triangle begins:
%e A211977    1;
%e A211977    3,   1;
%e A211977    5,   5,   1;
%e A211977   10,  15,   7,   1;
%e A211977   14,  35,  28,   9,   1;
%e A211977   26,  75,  85,  45,  11,   1;
%e A211977   35, 140, 217, 166,  66,  13,  1;
%e A211977   ...
%Y A211977 Columns 1-6: A092269, A221140, A221141, A221142, A221143, A221144.
%Y A211977 Cf. A000041, A220908, A220909.
%K A211977 nonn,tabl,more
%O A211977 1,2
%A A211977 _Omar E. Pol_, Jan 03 2013