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A328866 Row sums of array A324124. 6

%I #17 Oct 30 2019 03:43:58

%S 1,3,15,105,945,4158,75075,579150,34459425,339489150,16499172690,

%T 1724913508500,878428175625,131358797955000,252664626678750,

%U 3891675750482520,221643095476699771875,208605266331011550000,32498195069133543750,807994071847270157850000,125885476393804690593030

%N Row sums of array A324124.

%C These are the quantities D_n in Luke (1952). See the table on p. 217 of his paper. We use a(7) = 579150, which is a divisor of D_7 = 4054050. For an explanation of this change, see the comments for array A324124. (This modification does not change the values of the fractions gamma_r(n)/D_n used in Eq. (1) of Luke (1952). It is needed to give a unique definition of the terms of the array A324124.)

%H Petros Hadjicostas, <a href="/A328866/a328866.txt">Maple program</a>.

%H Yudell L. Luke, <a href="https://doi.org/10.1090/S0025-5718-1952-0050993-8">Mechanical quadrature near a singularity</a>, Math. Comp. 6 (1952), 215-219.

%Y Cf. A002685, A002686, A324124, A328884, A328885.

%K nonn

%O 0,2

%A _Petros Hadjicostas_, Oct 29 2019

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)