The On-Line Encyclopedia of Integer Sequences (OEIS)

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A131819

A131818 * A000012 as infinite lower triangular matrices. Triangle read by rows, partial sums starting from the right of A131818.
(history; published version)

#9 by Joerg Arndt at Fri Mar 04 01:26:02 EST 2022

STATUS

reviewed

approved

#8 by Michel Marcus at Fri Mar 04 01:06:03 EST 2022

STATUS

proposed

reviewed

#7 by Jon E. Schoenfield at Fri Mar 04 00:01:55 EST 2022

STATUS

editing

proposed

#6 by Jon E. Schoenfield at Fri Mar 04 00:01:53 EST 2022

COMMENTS

Left column = A034856: (1, 4, 8, 13, 19, 26, 34, ...). Row sums = A131820: (1, 6, 16, 33, 59, 96, ...).

EXAMPLE

First few rows of the triangle are:

1;

4, 2;

8, 5, 3;

13, 9, 7, 4;

19, 14, 12, 9, 5;

26, 20, 18, 15, 11, 6;

34, 27, 25, 22, 18, 13, 7;

...

STATUS

approved

editing

#5 by Bruno Berselli at Wed Feb 12 04:18:37 EST 2014

STATUS

proposed

approved

#4 by Michel Marcus at Wed Feb 12 04:15:52 EST 2014

STATUS

editing

proposed

#3 by Michel Marcus at Wed Feb 12 04:12:48 EST 2014

DATA

1, 4, 2, 8, 5, 3, 13, 9, 7, 4, 19, 14, 12, 9, 5, 26, 20, 18, 15, 11, 6, 34, 27, 25, 22, 18, 13, 7, 43, 35, 33, 30, 26, 21, 15, 8, 53, 44, 42, 39, 35, 30, 24, 17, 9, 64, 54, 52, 49, 45, 40, 34, 27, 19, 10, 76, 65, 63, 60, 56, 51, 45, 38, 30, 21, 11

PROG

(PARI) tabl(nn) = {m131818 = matrix(nn, nn, n, k, if (k==1, n, if (k <= n, k, 0))); m000012 = matrix(nn, nn, n, k, (k<=n)); m131819 = m131818 * m000012; for (n = 1, nn, for (k = 1, n, print1(m131819[n, k], ", "); ); ); } \\ Michel Marcus, Feb 12 2014

KEYWORD

nonn,tabl,more

EXTENSIONS

More terms from Michel Marcus, Feb 12 2014

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:25:22 EDT 2012

AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Jul 18 2007

Discussion

Fri Mar 30

17:25

OEIS Server: https://oeis.org/edit/global/135

#1 by N. J. A. Sloane at Sat Nov 10 03:00:00 EST 2007

NAME

A131818 * A000012 as infinite lower triangular matrices. Triangle read by rows, partial sums starting from the right of A131818.

DATA

OFFSET

1,2

COMMENTS

Left column = A034856: (1, 4, 8, 13, 19, 26, 34,...). Row sums = A131820: (1, 6, 16, 33, 59, 96,...).

EXAMPLE

First few rows of the triangle are:

1;

4, 2;

8, 5, 3;

13, 9, 7, 4;

19, 14, 12, 9, 5;

26, 20, 18, 15, 11, 6;

34, 27, 25, 22, 18, 13, 7;

...

CROSSREFS

Cf. A131818, A000012, A131820, A034856.

KEYWORD

nonn,tabl,more

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 18 2007

STATUS

approved