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Right-to-left partial row sums of triangle A131844
2

%I #12 Apr 18 2024 15:42:51

%S 1,8,4,15,8,7,22,12,11,10,29,16,15,14,13,36,20,19,18,17,16,43,24,23,

%T 22,21,20,19,50,28,27,26,25,24,23,22,57,32,31,30,29,28,27,26,25,64,36,

%U 35,34,33,32,31,30,29,28,71,40,39,38,37,36,35,34,33,32,31,78,44,43,42,41,40,39,38,37,36,35,34,85,48,47,46,45,44,43,42,41,40,39,38,37,92,52,51,50,49,48,47,46,45,44,43,42,41,40

%N Right-to-left partial row sums of triangle A131844

%C Left column = A016993, 7n + 1: (1, 8, 15, 22, 29, ...).

%C Right border = 3n + 1: (1, 4, 7, 10, 13, ...).

%C Row sums = A131874: (1, 12, 30, 55, ...).

%e First few rows of the triangle:

%e 1;

%e 8, 4;

%e 15, 8, 7;

%e 22, 12, 11, 10;

%e 29, 16, 15, 14, 13;

%e 36, 20, 19, 18, 17, 16;

%e 43, 24, 23, 22, 21, 20, 19;

%e ...

%e Row 4 of A131844 is 13, 1, 1, 1, 13, so row 4 of this sequence is 29, 16, 15, 14, 13.

%Y Cf. A131844, A131874, A016993, A131875.

%K nonn,tabl

%O 0,2

%A _Gary W. Adamson_, Jul 22 2007

%E Definition corrected and more terms added by _Russ Cox_, Apr 18 2024