A380169 Table T(r,s) read by rows: the coefficient of [k^s] of the Wynn's r-th converging polynomial p_r(k) of Weber functions, 0<=s<=r.

1, -1, 1, 1, -3, 1, 1, 7, -6, 1, -13, -5, 25, -10, 1, 47, -83, -60, 65, -15, 1, 73, 637, -203, -280, 140, -21, 1, -2447, -1425, 3710, 77, -910, 266, -28, 1, 16811, -22341, -21347, 13146, 2667, -2394, 462, -36, 1, 15551, 318149, -50400, -137435, 30135, 12999, -5460, 750, -45, 1, -1726511, -1415491, 2465969, 379940, -579590, 32109, 43659, -11220, 1155, -55

Offset: 0

Author

R. J. Mathar, Jan 14 2025

Keywords

• tabl
• sign

Examples

			The table starts
       1
      -1        1
       1       -3        1
       1        7       -6        1
     -13       -5       25      -10        1
      47      -83      -60       65      -15        1
      73      637     -203     -280      140      -21        1
   -2447    -1425     3710       77     -910      266      -28        1
   16811   -22341   -21347    13146     2667    -2394      462      -36        1
   15551   318149   -50400  -137435    30135    12999    -5460      750      -45        1
-1726511 -1415491  2465969   379940  -579590    32109    43659   -11220     1155      -55        1
		

Links

• P. Wynn, Converging factors for the Weber parabolic cylinder functions of complex argument, part Ib, Proc. Konin. Ned. Akad. Weten., Series A, 66 (1963), 721-754 (two parts). Table VII.

Crossrefs

Cf. A380170 (column s=1), A001664 (column s=2), A001662 (column s=0 apart from signs)

Programs

Maple

#re-using code of A001664
seq(seq( p(r,s),s=0..r),r=0..12) ;