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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

%I

%S 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,

%T 178,233,9,14,30,65,136,267,466,610,10,16,35,78,170,356,699,1220,1597

%N 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.

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

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

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

%F 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

%F the rest zeros.

%e First few rows of the triangle:

%e 1;

%e 2;

%e 3, 2;

%e 4, 4, 5;

%e 5, 6, 10, 13;

%e 6, 8, 15, 26, 34;

%e 7, 10, 20, 39, 68, 89;

%e 8, 12, 25, 52, 102, 178, 233;

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

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

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

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

%e ...

%Y Cf. A001519.

%K nonn,tabf,changed

%O 1,2

%A _Gary W. Adamson_, Jul 28 2010

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Last modified December 15 04:23 EST 2019. Contains 329991 sequences. (Running on oeis4.)