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A316938 Triangle read by rows formed using Pascal's rule except that n-th row begins and ends with Fibonacci(n+4). 3
3, 5, 5, 8, 10, 8, 13, 18, 18, 13, 21, 31, 36, 31, 21, 34, 52, 67, 67, 52, 34, 55, 86, 119, 134, 119, 86, 55, 89, 141, 205, 253, 253, 205, 141, 89, 144, 230, 346, 458, 506, 458, 346, 230, 144, 233, 374, 576, 804, 964, 964, 804, 576, 374, 233, 377, 607, 950, 1380, 1768, 1928, 1768, 1380, 950, 607, 377 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Row sums give A316937.
LINKS
EXAMPLE
Triangle begins:
3;
5, 5;
8, 10, 8;
13, 18, 18, 13;
21, 31, 36, 31, 21;
34, 52, 67, 67, 52, 34;
55, 86, 119, 134, 119, 86, 55;
89, 141, 205, 253, 253, 205, 141, 89;
144, 230, 346, 458, 506, 458, 346, 230, 144;
...
MATHEMATICA
t={}; Do[r={}; Do[If[k==0||k==n, m=Fibonacci[n+4], m=t[[n, k]]+t[[n, k+1]]]; r=AppendTo[r, m], {k, 0, n}]; AppendTo[t, r], {n, 0, 10}]; t
CROSSREFS
Cf. A000045 (Fibonacci numbers), A316937 (row sums).
Other Fibonacci borders: A074829, A108617, A316939.
Sequence in context: A263209 A101330 A063285 * A112507 A229428 A348374
KEYWORD
nonn,tabl
AUTHOR
Vincenzo Librandi, Jul 27 2018
STATUS
approved

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Last modified July 15 19:27 EDT 2024. Contains 374334 sequences. (Running on oeis4.)