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⇱ A174381 - OEIS

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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
0, 0, 4, 0, 9, 36, 0, 16, 16, 144, 0, 25, 100, 225, 400, 0, 36, 9, 12, 144, 900, 0, 49, 196, 441, 784, 1225, 1764, 0, 64, 64, 576, 64, 1600, 576, 3136, 0, 81, 324, 81, 1296, 2025, 324, 3969, 5184, 0, 100, 25, 900, 400, 100, 225, 4900, 1600, 8100, 0, 121, 484, 1089
OFFSET
0,3
COMMENTS
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; .. .
FORMULA
a(n)= 0, (mix 0 or A000004 , n-th row of A120073)
CROSSREFS
Sequence in context: A186965 A330386 A098487 * A184363 A331451 A390323
KEYWORD
nonn,uned
AUTHOR
Paul Curtz, Mar 17 2010
STATUS
approved