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A193588
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A Fibonacci triangle: T(n,k) = Fib(k+2) for 0 <= k <= n.
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2
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1, 1, 2, 1, 2, 3, 1, 2, 3, 5, 1, 2, 3, 5, 8, 1, 2, 3, 5, 8, 13, 1, 2, 3, 5, 8, 13, 21, 1, 2, 3, 5, 8, 13, 21, 34, 1, 2, 3, 5, 8, 13, 21, 34, 55, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233
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table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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COMMENTS
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n-th row sum: A001911, Fib(n+3)-2;
n-th alternating row sum: A000045, F(n).
The augmentation (as defined at A193091) of A193588 is A193589.
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LINKS
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Table of n, a(n) for n=0..77.
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FORMULA
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a(n) = A115346(n) + 1. - Filip Zaludek, Nov 19 2016
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EXAMPLE
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First 5 rows of A193588:
1;
1, 2;
1, 2, 3;
1, 2, 3, 5;
1, 2, 3, 5, 8;
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MATHEMATICA
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(See A193589, the augmentation of A193588.)
Table[Fibonacci[k+2], {n, 0, 20}, {k, 0, n}]//Flatten (* Harvey P. Dale, Nov 29 2017 *)
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CROSSREFS
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Cf. A193588.
Sequence in context: A060040 A092080 A264482 * A165884 A263939 A347499
Adjacent sequences: A193585 A193586 A193587 * A193589 A193590 A193591
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling, Jul 31 2011
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STATUS
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approved
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