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A179806 Irregular triangle by rows, M*Q. M = triangle with (1,2,3,...) in every column, with the leftmost column shifted upwards one row. Q = a diagonalized variant of odd-indexed Fibonacci numbers. 1
1, 2, 3, 2, 4, 4, 5, 5, 6, 10, 13, 6, 8, 15, 26, 34, 7, 10, 20, 39, 68, 89, 8, 12, 25, 52, 102, 178, 233, 9, 14, 30, 65, 136, 267, 466, 610, 10, 16, 35, 78, 170, 356, 699, 1220, 1597 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row sums = the odd-indexed Fibonacci numbers, A001519, starting with offset 1.

Sums of row terms = (1, 2, 5, 13, 34, 89, ...).

For rows > 1, sum of n-th row terms = rightmost term of next row.

LINKS

Table of n, a(n) for n=1..46.

FORMULA

Triangle, M*Q; where M = a triangle with (1,2,3,...) in every column with the leftmost column shifted upwards one row. Q = an infinite matrix with the odd-indexed Fibonacci numbers as the right border: (1, 2, 5, 13,...) and

the rest zeros.

EXAMPLE

First few rows of the triangle:

   1;

   2;

   3,  2;

   4,  4,  5;

   5,  6, 10,  13;

   6,  8, 15,  26,  34;

   7, 10, 20,  39,  68,  89;

   8, 12, 25,  52, 102, 178,  233;

   9, 14, 30,  65, 136, 267,  466,  610;

  10, 16, 35,  78, 170, 356,  699, 1220, 1597;

  11, 18, 40,  91, 204, 445,  932, 1830, 3194, 4181;

  12, 20, 45, 104, 238, 534, 1165, 2440, 4791, 8362, 10946;

  ...

CROSSREFS

Cf. A001519.

Sequence in context: A324750 A320348 A145394 * A182762 A173997 A029143

Adjacent sequences:  A179803 A179804 A179805 * A179807 A179808 A179809

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson, Jul 28 2010

STATUS

approved

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Last modified May 26 09:37 EDT 2020. Contains 334620 sequences. (Running on oeis4.)