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A169603 Table T(n,k) = k*(4*n+2+k) read by rows. 2
0, 0, 7, 0, 11, 24, 0, 15, 32, 51, 0, 19, 40, 63, 88, 0, 23, 48, 75, 104, 135, 0, 27, 56, 87, 120, 155, 192, 0, 31, 64, 99, 136, 175, 216, 259, 0, 35, 72, 111, 152, 195, 240, 287, 336, 0, 39, 80, 123, 168, 215, 264, 315, 368, 423, 0, 43, 88, 135, 184, 235, 288, 343, 400 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

These are the numerators of 1/(2n+1)^2-1/(2n+1+k)^2 as they appear in the energies of the hydrogen spectrum, not reduced by common factors with the denominators.

REFERENCES

Charles Janet, Considerations sur la structure du noyeau de l'atome, Decembre 1929, N 5, BEAUVAIS, page 39.

LINKS

Table of n, a(n) for n=0..63.

EXAMPLE

The table starts in row n=0 with columns 0<=k<=n as:

0;    # A005563

0,7;    # A061039

0,11,24; # A061043

0,15,32,51; # A061047

CROSSREFS

Row sums give: A169607 = 7*A000330, 7 times the sum of squares.

Sequence in context: A005481 A122699 A262807 * A022920 A240825 A243773

Adjacent sequences:  A169600 A169601 A169602 * A169604 A169605 A169606

KEYWORD

nonn,frac,tabl

AUTHOR

Paul Curtz, Dec 03 2009

STATUS

approved

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Last modified November 17 08:39 EST 2019. Contains 329217 sequences. (Running on oeis4.)