login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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