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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 (list; graph; refs; listen; history; text; internal format)
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; .. .

LINKS

Table of n, a(n) for n=0..58.

FORMULA

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

CROSSREFS

Sequence in context: A186965 A330386 A098487 * A184363 A331451 A164735

Adjacent sequences: A174378 A174379 A174380 * A174382 A174383 A174384

KEYWORD

nonn,uned

AUTHOR

Paul Curtz, Mar 17 2010

STATUS

approved

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Last modified November 26 14:22 EST 2022. Contains 358362 sequences. (Running on oeis4.)