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A141289 Triangle read by rows, n-th row = (n-2)-th row appended to the beginning of (n-1)-th row, + n. 1
1, 1, 2, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 1, 2, 1, 1, 2, 3, 4, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 6, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 1, 2, 1, 1, 2, 3, 4, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 6, 7 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

There are (1, 2, 4, 7, 12,...) terms per row where (0, 0, 1, 2, 4, 7, 12,...) = A000071 = Fibonacci numbers - 1.

Row sums = A001924: (1, 3, 7, 14, 26, 46,...)

LINKS

Table of n, a(n) for n=1..79.

FORMULA

Triangle read by rows, n-th row = (n-2)-th row appended to the beginning of (n-1)-th row, + n.

EXAMPLE

First few rows of the triangle are:

1;

1, 2;

1, 1, 2, 3;

1, 2, 1, 1, 2, 3, 4;

1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5;

1, 2, 1, 1, 2, 3, 4, 1, 1, 2, 3, 1, 2, 1, 1, 2, 3, 4, 5, 6;

...

Row 4 = (1, 2, 1, 1, 2, 3, 4) = (row 2 appended to row 3, + 4); = (1, 2) appended to (1, 1, 2, 3), then 4.

CROSSREFS

Cf. A000071, A001924.

Sequence in context: A180262 A161789 A109671 * A284271 A241915 A301891

Adjacent sequences:  A141286 A141287 A141288 * A141290 A141291 A141292

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Jun 22 2008

STATUS

approved

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Last modified October 18 12:18 EDT 2019. Contains 328160 sequences. (Running on oeis4.)