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A118686 Triangle read by rows. Let g[n] = n if n is a prime, otherwise g[n] = 1. Let p[0] = 1; p[n] = g[n]*p[n - 1]. Row n gives coefficients of Product_{k=0..n} [x - p[k]], with row 0 = {1}. 2
1, 1, -1, 1, -2, 1, 1, -4, 5, -2, 1, -10, 29, -32, 12, 1, -16, 89, -206, 204, -72, 1, -46, 569, -2876, 6384, -6192, 2160, 1, -76, 1949, -19946, 92664, -197712, 187920, -64800, 1, -286, 17909, -429236, 4281324, -19657152, 41707440, -39528000, 13608000, 1, -496, 77969, -4190126, 94420884, -918735192 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..50.

EXAMPLE

Triangle begins:

1

1, -1,

1, -2, 1

1, -4, 5, -2

1, -10, 29,-32, 12

1, -16, 89, -206, 204, -72

1, -46, 569, -2876, 6384, -6192, 2160

MATHEMATICA

g[n_] := If[PrimeQ[n] == True, n, 1] p[0] = 1; p[n_Integer?Positive] := p[n] = g[n]*p[n - 1] a = Join[{{1}}, Table[Reverse[CoefficientList[Product[x - p[n], {n, 0, m}], x]], {m, 0, 10}]] aout = Flatten[a]

CROSSREFS

Cf. primorial numbers A034386, Stirling numbers of the first kind A008275.

Cf. A034386, A008275, A119724, A119489 (row sums of absolute values).

Sequence in context: A158471 A158472 A198895 * A102610 A203300 A134172

Adjacent sequences:  A118683 A118684 A118685 * A118687 A118688 A118689

KEYWORD

sign,tabl

AUTHOR

Roger L. Bagula, May 20 2006

EXTENSIONS

Edited by N. J. A. Sloane, Oct 08 2006

STATUS

approved

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Last modified May 26 22:16 EDT 2019. Contains 323597 sequences. (Running on oeis4.)