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A177995 Triangle, row sums = odd Fibonacci numbers, A014437. 1
1, 2, 1, 2, 0, 3, 2, 0, 6, 5, 2, 0, 6, 0, 13, 2, 0, 6, 0, 26, 21, 2, 0, 6, 0, 26, 0, 55, 2, 0, 6, 0, 26, 0, 110, 89, 2, 0, 6, 0, 26, 0, 110, 0, 233, 2, 0, 6, 0, 26, 0, 110, 0, 466, 377, 1, 0, 6, 0, 26, 0, 110, 0, 466, 0, 987 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Row sums = A014437 starting (1, 3, 5, 13, 21, 55, 89, 233, 377,...). The generating triangle M (alternate columns of (1,2,2,2,...) and (1,0,0,0,...) has an eigensequence of (1, 3, 5, 13, 21, 55, 89,...); i.e., the odd Fibonacci numbers; such that M * (1, 1, 3, 5, 13,...) shifts the latter sequence to the left.
Sum of n-th row terms = rightmost term of next row.
LINKS
FORMULA
Let M = an infinite lower triangular matrix with alternate columns of
(1,2,2,2,...) and (1,0,0,0,...). Let Q = A014437: (1, 1, 3, 5, 13, 21, 55,...);
diagonalized with the rest zeros. Triangle A177995 = M * Q.
EXAMPLE
First few rows of the triangle =
1;
2, 1;
2, 0, 3;
2, 0, 6, 5;
2, 0, 6, 0, 13;
2, 0, 6, 0, 26, 21;
2, 0, 6, 0, 26, 0, 55;
2, 0, 6, 0, 26, 0, 110, 89;
2, 0, 6, 0, 26, 0, 110, 0, 233;
2, 0, 6, 0, 26, 0, 110, 0, 466, 377;
2, 0, 6, 0, 26, 0, 110, 0, 466, 0, 987;
2, 0, 6, 0, 26, 0, 110, 0, 466, 0, 1974, 1597;
...
CROSSREFS
Cf. A014437.
Sequence in context: A257081 A271484 A199920 * A332104 A238735 A356006
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, May 16 2010
STATUS
approved

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Last modified March 2 07:05 EST 2024. Contains 370460 sequences. (Running on oeis4.)