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 A173786 Triangle read by rows: T(n,k) = 2^n + 2^k, 0 <= k <= n. 25
 2, 3, 4, 5, 6, 8, 9, 10, 12, 16, 17, 18, 20, 24, 32, 33, 34, 36, 40, 48, 64, 65, 66, 68, 72, 80, 96, 128, 129, 130, 132, 136, 144, 160, 192, 256, 257, 258, 260, 264, 272, 288, 320, 384, 512, 513, 514, 516, 520, 528, 544, 576, 640, 768, 1024, 1025, 1026, 1028, 1032, 1040, 1056, 1088, 1152, 1280, 1536, 2048 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Essentially the same as A048645. - T. D. Noe, Mar 28 2011 LINKS T. D. Noe, Rows n = 0..100 of triangle, flattened FORMULA 1 <= A000120(T(n,k)) <= 2. For n>0, 0<=k0. T(n,2) = A140504(n) for n>1. T(n,3) = A175161(n-3) for n>2. T(n,4) = A175162(n-4) for n>3. T(n,5) = A175163(n-5) for n>4. T(n,n-4) = A110287(n-4) for n>3. T(n,n-3) = A005010(n-3) for n>2. T(n,n-2) = A020714(n-2) for n>1. T(n,n-1) = A007283(n-1) for n>0. T(n,n) = 2*A000079(n). EXAMPLE Triangle begins as: 2; 3, 4; 5, 6, 8; 9, 10, 12, 16; 17, 18, 20, 24, 32; 33, 34, 36, 40, 48, 64; 65, 66, 68, 72, 80, 96, 128; 129, 130, 132, 136, 144, 160, 192, 256; 257, 258, 260, 264, 272, 288, 320, 384, 512; 513, 514, 516, 520, 528, 544, 576, 640, 768, 1024; 1025, 1026, 1028, 1032, 1040, 1056, 1088, 1152, 1280, 1536, 2048; MATHEMATICA Flatten[Table[2^n + 2^m, {n, 0, 10}, {m, 0, n}]] (* T. D. Noe, Jun 18 2013 *) PROG (Magma) [2^n + 2^k: k in [0..n], n in [0..12]]; // G. C. Greubel, Jul 07 2021 (Sage) flatten([[2^n + 2^k for k in (0..n)] for n in (0..12)]) # G. C. Greubel, Jul 07 2021 (PARI) A173786(n) = { my(c = (sqrtint(8*n + 1) - 1) \ 2); 1 << c + 1 << (n - binomial(c + 1, 2)); }; \\ Antti Karttunen, Feb 29 2024, after David A. Corneth's PARI-program in A048645 CROSSREFS Cf. A048645, A118413, A118416. Cf. also A087112, A370121. Sequence in context: A029509 A364541 A048645 * A093863 A337800 A091902 Adjacent sequences: A173783 A173784 A173785 * A173787 A173788 A173789 KEYWORD nonn,tabl,easy AUTHOR Reinhard Zumkeller, Feb 28 2010 EXTENSIONS Typo in first comment line fixed by Reinhard Zumkeller, Mar 07 2010 STATUS approved

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Last modified April 13 18:35 EDT 2024. Contains 371644 sequences. (Running on oeis4.)