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A167269 Triangle read by rows, Pascal's triangle columns interleaved with 1's. 2
1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 4, 1, 3, 1, 1, 5, 1, 6, 1, 1, 1, 6, 1, 10, 1, 4, 1, 1, 7, 1, 15, 1, 10, 1, 1, 1, 8, 1, 21, 1, 20, 1, 5, 1, 1, 9, 1, 28, 1, 35, 1, 15, 1, 1, 1, 10, 1, 36, 1, 56, 1, 35, 1, 6, 1, 1, 11, 1, 45, 1, 84, 1, 70, 1, 21, 1, 1, 1, 12, 1, 55, 1, 120, 1, 126, 1, 56, 1, 7, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums, A167270: (1, 2, 4, 6, 10, 15, 24, 37,...) tend to phi, 1.618...;

e.g. 2592/1604 = 1.61596...

LINKS

Table of n, a(n) for n=0..90.

FORMULA

Given Pascal's triangle columns >0, insert 1's as alternate columns.

EXAMPLE

First few rows of the triangle =

1;

1, 1;

1, 2, 1;

1, 3, 1, 1;

1, 4, 1, 3, 1;

1, 5, 1, 6, 1, 1;

1, 6, 1, 10, 1, 4, 1;

1, 7, 1, 15, 1, 10, 1, 1;

1, 8, 1, 21, 1, 20, 1, 5, 1;

1, 9, 1, 28, 1, 35, 1, 15, 1, 1;

1, 10, 1, 36, 1, 56, 1, 35, 1, 6, 1;

1, 11, 1, 45, 1, 84, 1, 70, 1, 21, 1, 1;

1, 12, 1, 55, 1, 120, 1, 126, 1, 56, 1, 7, 1;

1, 13, 1, 66, 1, 165, 1, 210, 1, 126, 1, 28, 1, 1;

1, 14, 1, 78, 1, 220, 1, 330, 1, 252, 1, 84, 1, 8, 1;

1, 15, 1, 91, 1, 286, 1, 495, 1, 462, 1, 210, 1, 36, 1, 1;

1, 16, 1, 105, 1, 364, 1, 715, 1, 792, 1, 461, 1, 120, 1, 9, 1;

...

CROSSREFS

A167270

Sequence in context: A216764 A165430 A164823 * A105535 A182980 A244051

Adjacent sequences:  A167266 A167267 A167268 * A167270 A167271 A167272

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Mats Granvik, Oct 31 2009

STATUS

approved

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Last modified January 19 12:52 EST 2020. Contains 331049 sequences. (Running on oeis4.)