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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.

%I A179806 #6 Dec 11 2019 09:49:25
%S A179806 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 A179806 178,233,9,14,30,65,136,267,466,610,10,16,35,78,170,356,699,1220,1597
%N 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.
%C A179806 Row sums = the odd-indexed Fibonacci numbers, A001519, starting with offset 1.
%C A179806 Sums of row terms = (1, 2, 5, 13, 34, 89, ...).
%C A179806 For rows > 1, sum of n-th row terms = rightmost term of next row.
%F A179806 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 A179806 the rest zeros.
%e A179806 First few rows of the triangle:
%e A179806    1;
%e A179806    2;
%e A179806    3,  2;
%e A179806    4,  4,  5;
%e A179806    5,  6, 10,  13;
%e A179806    6,  8, 15,  26,  34;
%e A179806    7, 10, 20,  39,  68,  89;
%e A179806    8, 12, 25,  52, 102, 178,  233;
%e A179806    9, 14, 30,  65, 136, 267,  466,  610;
%e A179806   10, 16, 35,  78, 170, 356,  699, 1220, 1597;
%e A179806   11, 18, 40,  91, 204, 445,  932, 1830, 3194, 4181;
%e A179806   12, 20, 45, 104, 238, 534, 1165, 2440, 4791, 8362, 10946;
%e A179806   ...
%Y A179806 Cf. A001519.
%K A179806 nonn,tabf
%O A179806 1,2
%A A179806 _Gary W. Adamson_, Jul 28 2010