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A284128
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Hosoya triangle of Fermat Lucas type, read by rows.
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0
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9, 15, 15, 27, 25, 27, 51, 45, 45, 51, 99, 85, 81, 85, 99, 195, 165, 153, 153, 165, 195, 387, 325, 297, 289, 297, 325, 387, 771, 645, 585, 561, 561, 585, 645, 771, 1539, 1285, 1161, 1105, 1089, 1105, 1161, 1285, 1539, 3075, 2565, 2313, 2193, 2145, 2145, 2193, 2313, 2565, 3075
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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9,1
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LINKS
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FORMULA
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T(n,k) = (2^k + 1)*(2^(n - k + 1) + 1) n > 0, 0 < k <= n.
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EXAMPLE
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Triangle begins:
9;
15, 15;
27, 25, 27;
51, 45, 45, 51;
99, 85, 81, 85, 99;
195, 165, 153, 153, 165, 195;
...
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MATHEMATICA
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Table[(2^k + 1) (2^(n - k + 1) + 1), {n, 10}, {k, n}] // Flatten (* Indranil Ghosh, Apr 02 2017 *)
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PROG
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(PARI) T(n, k) = (2^k + 1)*(2^(n - k + 1) + 1);
tabl(nn) = for (n=1, nn, for (k=1, n, print1(T(n, k), ", ")); print()); \\ Michel Marcus, Apr 02 2017
(Python)
for n in range(1, 11):
....print [(2**k + 1) * (2**(n - k + 1) + 1) for k in range(1, n + 1)] # Indranil Ghosh, Apr 02 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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