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A141290 Triangle read by rows, descending antidiagonals of a (1, 3, 5, ...) * (1, 4, 16, ...) multiplication table. 3
1, 3, 4, 5, 12, 16, 7, 20, 48, 64, 9, 28, 80, 192, 256, 11, 36, 112, 320, 768, 1024, 13, 44, 144, 448, 1280, 3072, 4096, 15, 52, 176, 576, 1792, 5120, 12288, 16384, 17, 60, 208, 704, 2304, 7168, 20480, 49152, 65536, 19, 68, 240, 832, 2816, 9216, 28672, 81920 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

LINKS

Table of n, a(n) for n=1..53.

FORMULA

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

EXAMPLE

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

   1,   3,   5,   7, ...

   4,  12,  20,  28, ...

  16,  48,  80, 112, ...

  64, 192, 320, 448, ...

  ...

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

   1;

   3,  4;

   5, 12,  16;

   7, 20,  48,  64;

   9, 28,  80, 192,  256;

  11, 36, 112, 320,  768, 1024;

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

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

  ...

CROSSREFS

Cf. A003159, A141291.

Sequence in context: A242669 A090829 A236244 * A010752 A049929 A262192

Adjacent sequences:  A141287 A141288 A141289 * A141291 A141292 A141293

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Jun 22 2008

EXTENSIONS

a(14), a(36) corrected by Peter Munn, Aug 27 2019

STATUS

approved

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Last modified November 22 18:55 EST 2019. Contains 329410 sequences. (Running on oeis4.)