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 A168068 Array T(n,k) read by antidiagonals: T(n,2k+1) = 2k+1. T(n,2k) = 2^n*k. 2
 0, 0, 1, 0, 1, 1, 0, 1, 2, 3, 0, 1, 4, 3, 2, 0, 1, 8, 3, 4, 5, 0, 1, 16, 3, 8, 5, 3, 0, 1, 32, 3, 16, 5, 6, 7, 0, 1, 64, 3, 32, 5, 12, 7, 4, 0, 1, 128, 3, 64, 5, 24, 7, 8, 9, 0, 1, 256, 3, 128, 5, 48, 7, 16, 9, 5, 0, 1, 512, 3, 256, 5, 96, 7, 32, 9, 10, 11, 0, 1, 1024, 3, 512, 5, 192, 7, 64, 9, 20, 11, 6, 0, 1, 2048, 3, 1024, 5 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS The array is constructed multiplying the even-indexed A026741(k) by 2^n, and keeping the odd-indexed A026471(k) as they are. Connections to the hydrogen spectrum: The squares of the second row are T(1,k)^2 = A001477(k)^2 = A000290(k) which are the denominators of the Lyman lines (see A171522). The squares of the row T(2,k) are in A154615, denominators of the Balmer series. Row T(3,k) is related to A106833 and A061038. LINKS EXAMPLE The array starts in row n=0 with columns k>=0 as: 0,1,1,3,2,5,3,7,4, A026741 0,1,2,3,4,5,6,7,8, A001477 0,1,4,3,8,5,12,7,16, A022998 0,1,8,3,16,5,24,7,32, A144433 0,1,16,3,32,5,48,7,64, 0,1,32,3,64,5,96,7,128, MAPLE A168068 := proc(n, k) if type(k, 'odd') then k; else 2^(n-1)*k ; end if; end proc: # R. J. Mathar, Jan 22 2011 CROSSREFS Sequence in context: A285320 A347710 A340666 * A163575 A355889 A275736 Adjacent sequences:  A168065 A168066 A168067 * A168069 A168070 A168071 KEYWORD nonn,easy,tabl AUTHOR Paul Curtz, Nov 18 2009 STATUS approved

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Last modified August 9 16:21 EDT 2022. Contains 356026 sequences. (Running on oeis4.)