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A167948 Triangle read by rows, A101688 * (an infinite lower triangular matrix with A002083 as the main diagonal and the rest zeros). 1
1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 3, 0, 0, 0, 2, 3, 6, 0, 0, 0, 2, 3, 6, 11, 0, 0, 0, 0, 3, 6, 11, 22, 0, 0, 0, 0, 3, 6, 11, 22, 42, 0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 165, 0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,10
COMMENTS
Row sums = A002083(n+1): (1, 1, 2, 3, 6, 11, 22, 42, 84, 165,...).
Sum of n-th row terms = rightmost term of next row.
Eigensequence of triangle A101688 = A002083 starting with offset 1: (1, 1, 2, 3, 6, 11, 22, 42,...).
LINKS
FORMULA
Equals M * Q, where M = triangle A101688, Q = an infinite lower triangular matrix with (1, 1, 1, 2, 3, 6, 11, 22, 42,...) as the main diagonal and the rest zeros.
EXAMPLE
First few rows of the triangle:
1;
0, 1;
0, 1, 1;
0, 0, 1, 2;
0, 0, 1, 2, 3;
0, 0, 0, 2, 3, 6;
0, 0, 0, 2, 3, 6, 11;
0, 0, 0, 0, 3, 6, 11, 22;
0, 0, 0, 0, 3, 6, 11, 22, 42;
0, 0, 0, 0, 0, 6, 11, 22, 42, 84;
0, 0, 0, 0, 0, 6, 11, 22, 42, 84, 165;
0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330;
0, 0, 0, 0, 0, 0, 11, 22, 42, 84, 165, 330, 654;
0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308;
0, 0, 0, 0, 0, 0, .0, 22, 42, 84, 165, 330, 654, 1308, 2605;
...
CROSSREFS
Sequence in context: A089731 A097098 A123679 * A111755 A144528 A290694
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Nov 15 2009
STATUS
approved

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)