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.

A152736 Triangle read by rows: M*Q, where M = an infinite lower triangular matrix with A140456 in every column: (1, 1, 1, 3, 7, 23, 71, ...) and Q = a matrix with A000085 as the main diagonal the rest zeros.

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%I A152736 #4 Feb 08 2022 23:23:38
%S A152736 1,1,1,1,1,2,3,1,2,4,7,3,2,4,10,23,7,6,4,10,26,71,23,14,12,10,26,76,
%T A152736 255,71,46,28,30,26,76,232,911,255,142,92,70,78,76,232,764,3535,911,
%U A152736 510,284,230,182,228,232,764,2620
%N A152736 Triangle read by rows: M*Q, where M = an infinite lower triangular matrix with A140456 in every column: (1, 1, 1, 3, 7, 23, 71, ...) and Q = a matrix with A000085 as the main diagonal the rest zeros.
%C A152736 An eigentriangle.
%C A152736 Row sums = A000085 starting with offset 1.
%C A152736 Sum of n-th row terms = rightmost term of next row.
%e A152736 First few rows of the triangle:
%e A152736       1;
%e A152736       1,    1;
%e A152736       1,    1,    2;
%e A152736       3,    1,    2,    4;
%e A152736       7,    3,    2,    4,  10;
%e A152736      23,    7,    6,    4,  10,  26;
%e A152736      71,   23,   14,   12,  10,  26,  76;
%e A152736     255,   71,   46,   28,  30,  26,  76, 232;
%e A152736     911,  255,  142,   92,  70,  78,  76, 232, 764;
%e A152736    3535,  911,  510,  284, 230, 182, 228, 232, 764, 2620;
%e A152736   13903, 3535, 1822, 1020, 710, 598, 532, 696, 764, 2620, 9496;
%e A152736   ...
%e A152736 Row r = (3, 1, 2, 4) = (3*1, 1*1, 1*2, 1*4) = termwise products of (3, 1, 1, 1) and (1, 1, 2, 4), where A000085 = (1, 1, 2, 4, 10, 26, 76, ...).
%Y A152736 Cf. A000085, A140456.
%K A152736 eigen,nonn,tabl
%O A152736 1,6
%A A152736 _Gary W. Adamson_, Dec 12 2008