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 A141290 Triangle read by rows, descending antidiagonals of a (1, 3, 5, ...) * (1, 4, 16, ...) multiplication table. 3

%I

%S 1,3,4,5,12,16,7,20,48,64,9,28,80,192,256,11,36,112,320,768,1024,13,

%T 44,144,448,1280,3072,4096,15,52,176,576,1792,5120,12288,16384,17,60,

%U 208,704,2304,7168,20480,49152,65536,19,68,240,832,2816,9216,28672,81920

%N Triangle read by rows, descending antidiagonals of a (1, 3, 5, ...) * (1, 4, 16, ...) multiplication table.

%C Binary representation of all terms ends in an even number of zeros (cf. A003159).

%F Triangle read by rows, descending antidiagonals of a (1, 3, 5, ...) * (1, 4, 16, ...) multiplication table.

%e Given the multiplication table (1, 3, 5, ...) * (1, 4, 16, ...); i.e., odd numbers as column headings, powers of 4 along the left border:

%e 1, 3, 5, 7, ...

%e 4, 12, 20, 28, ...

%e 16, 48, 80, 112, ...

%e 64, 192, 320, 448, ...

%e ...

%e Rows of the triangle = descending antidiagonals of the array, getting:

%e 1;

%e 3, 4;

%e 5, 12, 16;

%e 7, 20, 48, 64;

%e 9, 28, 80, 192, 256;

%e 11, 36, 112, 320, 768, 1024;

%e 13, 44, 144, 448, 1280, 3072, 4096;

%e 15, 52, 176, 576, 1792, 5120, 122288, 16384;

%e ...

%Y Cf. A003159, A141291.

%K nonn,tabl

%O 1,2

%A _Gary W. Adamson_, Jun 22 2008

%E a(14), a(36) corrected by _Peter Munn_, Aug 27 2019

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Last modified December 12 20:12 EST 2019. Contains 329961 sequences. (Running on oeis4.)