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A180264 Triangle, row sums = A006054; derived from an infinite lower triangular matrix with (1,1,1,...) as the leftmost column and (1,2,1,1,1,...) as other columns. 2
1, 1, 1, 2, 2, 1, 1, 1, 4, 5, 1, 1, 2, 10, 11, 1, 1, 2, 5, 22, 25, 1, 1, 2, 5, 11, 50, 56, 1, 1, 2, 5, 11, 50, 56, 1, 1, 2, 5, 11, 25, 112, 126, 1, 1, 2, 5, 11, 25, 56, 252, 283, 1, 1, 2, 5, 11, 25, 56, 126, 566, 636, 1, 1, 2, 5, 11, 25, 56, 126, 283, 1272, 1429 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Row sums = A006054 starting (1, 2, 5, 11, 25, 56, 126,...).

Sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=1..73.

FORMULA

Let M = an infinite lower triangular matrix with 1's in the leftmost column,

and (1,2,1,1,1,...) as other columns. Let Q = a diagonalized variant of

A006054 (1, 1, 2, 5, 11, 25, 56,...) as the right border and the rest zeros.

Triangle A180264 = M*Q.

EXAMPLE

First few rows of the triangle =

.

1;

1, 1;

1, 2, 2;

1, 1, 4, 5;

1, 1, 2, 10, 11;

1, 1, 2, 5, 22, 25;

1, 1, 2, 5, 11, 50, 56;

1, 1, 2, 5, 11, 25, 112, 126;

1, 1, 2, 5, 11, 25, 56, 252, 283;

1, 1, 2, 5, 11, 25, 56, 126, 566, 636;

1, 1, 2, 5, 11, 25, 56, 126, 283, 1272, 1429;

1, 1, 2, 5, 11, 25, 56, 126, 283, 636, 2858, 3211;

...

Example: Row 4 = (1, 1, 4, 5) = termwise products of (1, 1, 2, 1) and (1, 1, 2, 5).

CROSSREFS

Cf. A006054

Sequence in context: A162741 A104320 A242618 * A225200 A128706 A253586

Adjacent sequences:  A180261 A180262 A180263 * A180265 A180266 A180267

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Aug 21 2010

STATUS

approved

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Last modified June 25 05:41 EDT 2019. Contains 324346 sequences. (Running on oeis4.)