login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Triangle related to number of compositions of n into relatively prime summands.
5

%I #13 Jan 05 2025 19:51:35

%S 1,1,-2,1,-3,4,1,-4,6,-8,1,-5,10,-9,16,1,-6,15,-20,9,-32,1,-7,21,-35,

%T 36,0,64,1,-8,28,-56,70,-64,-27,-128,1,-9,36,-84,126,-125,120,81,256,

%U 1,-10,45,-120,210,-252,200,-240,-162,-512,1,-11,55,-165,330,-462,463,-275,496,243,1024,1,-12,66,-220,495,-792,924

%N Triangle related to number of compositions of n into relatively prime summands.

%H H. W. Gould, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Scanned/2-4/gould.pdf">Binomial coefficients, the bracket function and compositions with relatively prime summands</a>, Fib. Quart. 2 (1964), 2.

%e Triangle begins:

%e 1;

%e 1, -2;

%e 1, -3, 4;

%e 1, -4, 6, -8;

%e 1, -5, 10, -9, 16;

%e 1, -6, 15, -20, 9, -32;

%e 1, -7, 21, -35, 36, 0, 64;

%e ...

%Y Cf. A126713.

%K tabl,sign

%O 2,3

%A _N. J. A. Sloane_.

%E More terms from _Vladeta Jovovic_, Feb 26 2008