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A146023 Triangle read by rows, square of A027293. 4
1, 2, 1, 5, 2, 1, 10, 5, 2, 1, 20, 10, 5, 2, 1, 36, 20, 10, 5, 2, 1, 65, 36, 20, 10, 5, 2, 1, 110, 65, 36, 20, 10, 5, 2, 1, 185, 110, 65, 36, 20, 10, 5, 2, 1, 300, 185, 110, 65, 36, 20, 10, 5, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Triangle, A000712 (1, 2, 5, 10, 20, 36,...) in every column.

Row sums = A000713: (1, 3, 8, 18, 38, 74, 139,...)

Note that we are working here in the world of lower triangular matrices. - N. J. A. Sloane, Jun 15 2020

LINKS

Robert Price, Table of n, a(n) for n = 0..819 (first 40 rows}

EXAMPLE

First few rows of the triangle =

    1;

    2,  1;

    5,  2,  1;

   10,  5,  2,  1;

   20, 10,  5,  2,  1;

   36, 20, 10,  5,  2,  1;

   65, 36, 20, 10,  5,  2,  1;

  110, 65, 36, 20, 10,  5,  2,  1;

...

MATHEMATICA

lim = 10;

A000712 = Table [Length@IntegerPartitions[n, All, Range@n~Join~Range@n], {n, 0, lim - 1}]

Table[Reverse[Take[A000712, n]], {n, lim}] // Flatten (* Robert Price, Jun 15 2020 *)

CROSSREFS

Cf. A000712, A000713, A027293.

Sequence in context: A249756 A207607 A146024 * A104766 A105084 A126125

Adjacent sequences:  A146020 A146021 A146022 * A146024 A146025 A146026

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Oct 26 2008

EXTENSIONS

Extraneous data deleted by Robert Price, Jun 15 2020

STATUS

approved

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Last modified July 9 16:50 EDT 2020. Contains 335545 sequences. (Running on oeis4.)