login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A147293 Triangle read by rows, A011782 convolved with A001519. 2

%I #6 Dec 11 2019 09:48:56

%S 1,1,2,2,2,5,4,4,5,13,8,8,10,13,34,16,16,20,26,34,89,32,32,40,52,68,

%T 89,233,64,64,80,104,136,178,233,610,128,128,160,208,272,356,466,610,

%U 1597,256,256,320,416,544,712,932,1220,1597,4181

%N Triangle read by rows, A011782 convolved with A001519.

%C Row sums = A061667: (1, 3, 9, 26, 73, 201, ...).

%F Let M = an infinite lower triangular matrix with A011782: (1, 1, 2, 4, 8, 16, ...) in every column; and Q = an infinite lower triangular matrix with odd-indexed Fibonacci numbers, A001519: (1, 2, 5, 13, 34, 89, ...) as the main column and the rest zeros.

%F A147293 = M * Q.

%e First few rows of the triangle =

%e 1;

%e 1, 2;

%e 2, 2, 5;

%e 4, 4, 5, 13;

%e 8, 8, 10, 13, 34;

%e 16, 16, 20, 26, 34, 89;

%e 32, 32, 40, 52, 68, 89, 233;

%e 64, 64, 80, 104, 136, 178, 233, 610;

%e 128, 128, 160, 208, 272, 356, 466, 610, 1597;

%e 256, 256, 320, 416, 544, 712, 932, 1220, 1597, 4181;

%e ...

%e Row 3 = (4, 4, 5, 13) = termwise products of (4, 2, 1, 1) and (1, 2, 5, 13). Row 3 sum of terms = 26 = (1, 1, 2, 4) convolved with (1, 2, 5, 13).

%Y Cf. A001519, A011782, A061667.

%K nonn,tabl

%O 0,3

%A _Gary W. Adamson_, Nov 05 2008

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)