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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.

%I A380169 #6 Jan 14 2025 07:40:53
%S A380169 1,-1,1,1,-3,1,1,7,-6,1,-13,-5,25,-10,1,47,-83,-60,65,-15,1,73,637,
%T A380169 -203,-280,140,-21,1,-2447,-1425,3710,77,-910,266,-28,1,16811,-22341,
%U A380169 -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
%N 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.
%H A380169 P. Wynn, Converging factors for the Weber parabolic cylinder functions of complex argument, <a href="https://doi.org/10.1016/S1385-7258(63)50074-2">part Ib</a>, Proc. Konin. Ned. Akad. Weten., Series A, 66 (1963), 721-754 (two parts). Table VII.
%e A380169 The table starts
%e A380169        1
%e A380169       -1        1
%e A380169        1       -3        1
%e A380169        1        7       -6        1
%e A380169      -13       -5       25      -10        1
%e A380169       47      -83      -60       65      -15        1
%e A380169       73      637     -203     -280      140      -21        1
%e A380169    -2447    -1425     3710       77     -910      266      -28        1
%e A380169    16811   -22341   -21347    13146     2667    -2394      462      -36        1
%e A380169    15551   318149   -50400  -137435    30135    12999    -5460      750      -45        1
%e A380169 -1726511 -1415491  2465969   379940  -579590    32109    43659   -11220     1155      -55        1
%p A380169 #re-using code of A001664
%p A380169 seq(seq( p(r,s),s=0..r),r=0..12) ;
%Y A380169 Cf. A380170 (column s=1), A001664 (column s=2), A001662 (column s=0 apart from signs)
%K A380169 tabl,sign
%O A380169 0,5
%A A380169 _R. J. Mathar_, Jan 14 2025