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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A134511 abs(A049310) * A128174. 3
1, 0, 1, 2, 0, 1, 0, 3, 0, 1, 5, 0, 4, 0, 1, 0, 8, 0, 5, 0, 1, 13, 0, 12, 0, 6, 0, 1, 0, 21, 0, 17, 0, 7, 0, 1, 34, 0, 33, 0, 23, 0, 8, 0, 1, 0, 55, 0, 50, 0, 30, 0, 9, 0, 1, 89, 0, 88, 0, 73, 0, 38, 0, 10, 0, 1, 0, 144, 0, 138, 0, 103, 0, 47, 0, 11, 0, 1, 233, 0, 232, 0, 211, 0, 141, 0, 57, 0, 12, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

A112552(unsigned) = A128174 * A049310.

Row sums = A134512: (1, 1, 3, 4, 10, 14, 32, 46, 99, 145,...).

LINKS

Robert Israel, Table of n, a(n) for n = 0..10010 (rows 0 to 141, flattened)

FORMULA

(unsigned A049310) * A128174 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

1;

0, 1;

2, 0, 1;

0, 3, 0, 1;

5, 0, 4, 0, 1;

0, 8, 0, 5, 0, 1;

13, 0, 12, 0, 6, 0, 1;

0, 21, 0, 17, 0, 7, 0, 1;

34, 0, 33, 0, 23, 0, 8, 0, 1;

0, 55, 0, 50, 0, 30, 0, 9, 0, 1;

...

MAPLE

N:= 20: # for the first N rows

T128174:= Matrix(N, N, (i, j) -> `if`(j<=i, (i-j+1) mod 2, 0)):

T049310:= Matrix(N, N):

for i from 1 to N do

     P:= orthopoly[U](i-1, x/2);

     for j from 1 to i do

       T049310[i, j]:= abs(coeff(P, x, j-1))

     od

od:

A:= T049310 . T128174:

for i from 1 to N do

convert(A[i, 1..i], list)

od;  # Robert Israel, Mar 02 2018

CROSSREFS

Cf. A128174, A049310, A134512.

A(4n,2n) gives: A038736.

Sequence in context: A112552 A048154 A320602 * A112554 A120616 A108044

Adjacent sequences:  A134508 A134509 A134510 * A134512 A134513 A134514

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Oct 28 2007

EXTENSIONS

Edited by Robert Israel, Mar 02 2018

STATUS

approved

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 March 26 16:55 EDT 2019. Contains 321510 sequences. (Running on oeis4.)