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A284129
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Hosoya triangle Jacobsthal Lucas type.
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1
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1, 5, 5, 7, 25, 7, 17, 35, 35, 17, 31, 85, 49, 85, 31, 65, 155, 119, 119, 155, 65, 127, 325, 217, 289, 217, 325, 127, 257, 635, 455, 527, 527, 455, 635, 257, 511, 1285, 889, 1105, 961, 1105, 889, 1285, 511, 1025, 2555, 1799, 2159, 2015, 2015, 2159, 1799, 2555, 1025, 2047, 5125
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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LINKS
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FORMULA
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EXAMPLE
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Triangle begins:
1,
5, 5,
7, 25, 7,
17, 35, 35, 17,
31, 85, 49, 85, 31,
65, 155, 119, 119, 155, 65,
127, 325, 217, 289, 217, 325, 127,
257, 635, 455, 527, 527, 455, 635, 257,
511, 1285, 889, 1105, 961, 1105, 889, 1285, 511,
...
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MATHEMATICA
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a[n_]:= 2^n + (-1)^n; Table[a[k] a[n - k + 1], {n, 10}, {k, n}] // Flatten (* Indranil Ghosh, Mar 30 2017 *)
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PROG
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(PARI) a(n) = 2^n + (-1)^n;
for(n=1, 10, for(k=1, n, print1(a(k)*a(n - k + 1), ", "); ); print(); ); \\ Indranil Ghosh, Mar 30 2017
(Python)
def a(n): return 2**n + (-1)**n
for n in range(1, 11):
....print [a(k) * a(n - k + 1) for k in range(1, n + 1)] # Indranil Ghosh, Mar 30 2017
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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