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A119355 Triangle generated from binomial transforms of (1; 2, 3; 3, 4, 5;...). 0
1, 2, 1, 3, 5, 1, 4, 7, 8, 1, 5, 9, 16, 11, 1, 6, 11, 20, 30, 14, 1, 7, 13, 24, 44, 49, 17, 1, 8, 15, 28, 52, 88, 73, 20, 1, 9, 17, 32, 60, 103, 159, 102, 23, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..45.

FORMULA

Take antidiagonals of an array generated by taking binomial transforms of (1; 2, 3; 3, 4, 5; 4, 5, 6, 7;...)

EXAMPLE

First few rows of the array are:

1, 1, 1, 1,...

2, 5, 8, 11,...

3, 7, 16, 30,...

4, 9, 20, 44,...

...

First few rows of the triangle are:

1;

2, 1;

3, 5, 1;

4, 7, 8, 1;

5, 9, 16, 11, 1;

6, 11, 20, 30, 14, 1;

7, 13, 24, 44, 49, 17, 1;

...

Example: The diagonal 3, 7, 16, 30, 49...(third row of the array) = binomial transform of (3, 4, 5, 0, 0, 0...).

CROSSREFS

Sequence in context: A210563 A236311 A093412 * A076110 A117584 A199847

Adjacent sequences:  A119352 A119353 A119354 * A119356 A119357 A119358

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 16 2006

STATUS

approved

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Last modified November 17 13:33 EST 2019. Contains 329230 sequences. (Running on oeis4.)