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A174381 Triangle for denominators of half extended Rydberg-Ritz spectrum of the hydrogenic spectra. a(n) is an antidiagonal writing of array in A171522 without first column. 0

%I #6 Jul 03 2021 14:06:50

%S 0,0,4,0,9,36,0,16,16,144,0,25,100,225,400,0,36,9,12,144,900,0,49,196,

%T 441,784,1225,1764,0,64,64,576,64,1600,576,3136,0,81,324,81,1296,2025,

%U 324,3969,5184,0,100,25,900,400,100,225,4900,1600,8100,0,121,484,1089

%N Triangle for denominators of half extended Rydberg-Ritz spectrum of the hydrogenic spectra. a(n) is an antidiagonal writing of array in A171522 without first column.

%C Companion to A172157 (numerators). Hence -1/0; -1/0,-3/4; -1/0,-8/9,-5/36; -1/0,-15/16,-3/16,-7/144; -1/0,-24/25,-21/100,-16/225,-9/400; for 1) (-1/0, A005563/A000290(n+1))=A067998(n+1)/A000290 Lyman; 2) -1/0, -3/4, A061037/A061038 Balmer ; 3) -1/0, -8/9, -5/36, A061039/A061040)=A171709(n+3)/ Paschen; 4) (-1/0, -15/16, -3/16, -7/144, A061041/A061042 Brackett; .. .

%F a(n)= 0, (mix 0 or A000004 , n-th row of A120073)

%K nonn,uned

%O 0,3

%A _Paul Curtz_, Mar 17 2010

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)