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A126682 Square pyramid giving coefficients of Carlo Wood's polynomials, read by successive slices, each slice being read row by row.

%I A126682 #26 Jul 29 2022 16:53:14
%S A126682 1,1,1,1,3,1,3,2,2,9,7,1,6,11,1,6,11,6,3,22,45,26,3,26,69,46,1,10,35,
%T A126682 50,1,10,35,50,24,4,45,170,255,126,6,75,320,525,274,4,55,270,545,326,
%U A126682 1,15,85,225,274,1,15,85,225,274,120,5,81,485,1335,1670,744,10
%N A126682 Square pyramid giving coefficients of Carlo Wood's polynomials, read by successive slices, each slice being read row by row.
%C A126682 There is no standard method for converting a pyramid of numbers to a sequence. This seems as good a solution as any.
%C A126682 See the link for further information and more terms.
%C A126682 The first row of each slice seems to coincide with the first row of each slice of A335442. That row from the n-th slice seems to be the coefficients of the polynomial (x+1) * ... * (x+n-1), i.e., the reversed row n-1 of A130534. - _Andrey Zabolotskiy_, Jun 26 2022
%H A126682 N. J. A. Sloane, <a href="/A126671/a126671.txt">Notes on Carlo Wood's Polynomials</a>
%e A126682 Slice 1:
%e A126682   1
%e A126682 Slice 2:
%e A126682   1 1
%e A126682   1 3
%e A126682 Slice 3:
%e A126682   1  3  2
%e A126682   2  9  7
%e A126682   1  6 11
%e A126682 Slice 4:
%e A126682   1  6 11  6
%e A126682   3 22 45 26
%e A126682   3 26 69 46
%e A126682   1 10 35 50
%e A126682 Note that in Part 4 of the linked file, the order of the rows is reversed, while in its Part 1 the order of both rows and columns is reversed.
%Y A126682 Cf. A126671, A130534, A335442.
%K A126682 nonn,tabf
%O A126682 1,5
%A A126682 _N. J. A. Sloane_, Feb 14 2007
%E A126682 The sole term 1 of slice 1 inserted by _Andrey Zabolotskiy_, Jun 26 2022