A134575 - OEIS

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A134575

Triangle read by rows: T(n,k) = k^2*A051731(n,k).

3

1, 1, 4, 1, 0, 9, 1, 4, 0, 16, 1, 0, 0, 0, 25, 1, 4, 9, 0, 0, 36, 1, 0, 0, 0, 0, 0, 49, 1, 4, 0, 16, 0, 0, 0, 64, 1, 0, 9, 0, 0, 0, 0, 0, 81, 1, 4, 0, 0, 25, 0, 0, 0, 0, 100, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 121, 1, 4, 9, 16, 0, 36, 0, 0, 0, 0, 0, 144, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 169

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..1275 (first 50 rows)

FORMULA

Equals A051731 * A127733 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle:

1;

1, 4;

1, 0, 9;

1, 4, 0, 16;

1, 0, 0, 0, 25;

1, 4, 9, 0, 0, 36;

1, 0, 0, 0, 0, 0, 49;

...

PROG

(PARI) T(n, k) = if(n%k==0, k^2, 0) \\ Andrew Howroyd, Sep 20 2025

CROSSREFS

Row sums are A001157.

Main diagonal is A000290.

Cf. A051731, A127733, A134576.

Sequence in context: A231350 A152420 A050465 * A095831 A277531 A284982

Adjacent sequences: A134572 A134573 A134574 * A134576 A134577 A134578

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Nov 02 2007

EXTENSIONS

New name and a(56) onwards from Andrew Howroyd, Sep 20 2025

STATUS

approved