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A173302 Irregular triangle by rows, generated from an array with A000041 starting again at columns (2^n - 1), n=1,2,3,... 4
1, 1, 1, 2, 1, 3, 2, 1, 5, 3, 1, 7, 5, 2, 11, 7, 3, 15, 11, 5, 1, 22, 15, 7, 1, 30, 22, 11, 2, 42, 30, 15, 3, 56, 42, 22, 5, 77, 56, 30, 7, 101, 77, 42, 11, 135, 101, 56, 15, 176, 135, 77, 22, 1, 231, 176, 101, 30, 1, 297, 231, 135, 42, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sum of finite difference terms of the array create triangle A173304.

Row sums = A173303.

LINKS

Table of n, a(n) for n=0..63.

FORMULA

Create an array with A000041 in row 0, then A000041 starts anew under successive columns (1, 3, 7, 15, 31,...). (Cf. A173301).

Columns of the array = rows of A173302.

EXAMPLE

The generating array =

1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 176,...

...1, 1, 2, 3, 5,..7,.11, 15, 22, 30, 42, 56, .77, 101, 135,...

.........1, 1, 2,..3...5,..7, 11, 15, 22, 30, .42, .56, .77,...

.......................1,..1,..2,..3,..5,..7,..11,..15,..22,...

..........................................................1,...

...then columns become the rows of triangle A173302:

1;

1, 1;

2, 1;

3, 2, 1;

5, 3, 1;

7, 5, 2;

11, 7, 3;

15, 11, 5, 1;

22, 15, 7, 1;

30, 22, 11, 2;

42, 30, 15, 3;

56, 42, 22, 5;

77, 56, 30, 7;

101, 77, 4, 11;

135, 101, 56, 15;

176, 135, 77, 22, 1;

...

CROSSREFS

Cf. A000041, A173301, A173303, A173304.

Sequence in context: A002335 A280738 A207375 * A251721 A251722 A304100

Adjacent sequences:  A173299 A173300 A173301 * A173303 A173304 A173305

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Feb 15 2010

STATUS

approved

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Last modified November 18 12:35 EST 2019. Contains 329261 sequences. (Running on oeis4.)