A271709 Table T(n,k) = 2^n + 2^k read by antidiagonals.
2, 3, 3, 5, 4, 5, 9, 6, 6, 9, 17, 10, 8, 10, 17, 33, 18, 12, 12, 18, 33, 65, 34, 20, 16, 20, 34, 65, 129, 66, 36, 24, 24, 36, 66, 129, 257, 130, 68, 40, 32, 40, 68, 130, 257, 513, 258, 132, 72, 48, 48, 72, 132, 258, 513, 1025, 514, 260, 136, 80, 64, 80, 136
Offset: 0
Examples
a(0) = T(0, 0) = 2^0 + 2^0 = 2 a(1) = T(1, 0) = 2^1 + 2^0 = 3 2, 3, 5, 9, 17, 33, 65, 129, 257, 513,1025, 3, 4, 6, 10, 18, 34, 66, 130, 258, 514,1026, 5, 6, 8, 12, 20, 36, 68, 132, 260, 516,1028, 9, 10, 12, 16, 24, 40, 72, 136, 264, 520,1032, 17, 18, 20, 24, 32, 48, 80, 144, 272, 528,1040, 33, 34, 36, 40, 48, 64, 96, 160, 288, 544,1056, 65, 66, 68, 72, 80, 96, 128, 192, 320, 576,1088, 129, 130, 132, 136, 144, 160, 192, 256, 384, 640,1152, 257, 258, 260, 264, 272, 288, 320, 384, 512, 768,1280, 513, 514, 516, 520, 528, 544, 576, 640, 768,1024,1536, 1025,1026,1028,1032,1040,1056,1088,1152,1280,1536,2048,
Links
- Peter Kagey, Table of n, a(n) for n = 0..10000
Programs
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Maple
A271709 := proc(n,k) 2^n+2^k ; end proc: # R. J. Mathar, Apr 15 2016
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Mathematica
Table[2^(n - k) + 2^k, {n, 0, 10}, {k, 0, n}] // Flatten (* Michael De Vlieger, Apr 12 2016 *) -
PARI
T(n, k) = 2^n + 2^k; matrix(10, 10, n, k, n--;k--;T(n,k)) \\ Michel Marcus, Apr 12 2016
Formula
T(n,k) = T(k,n) = A173786(n,k). - R. J. Mathar, Apr 15 2016
Comments