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A215063 Triangle read by rows, e.g.f. exp(x*(z-3/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3. 5
1, -1, 1, 1, -2, 1, 0, 3, -3, 1, -3, 0, 6, -4, 1, 9, -15, 0, 10, -5, 1, -18, 54, -45, 0, 15, -6, 1, 27, -126, 189, -105, 0, 21, -7, 1, -27, 216, -504, 504, -210, 0, 28, -8, 1, 0, -243, 972, -1512, 1134, -378, 0, 36, -9, 1, 81, 0, -1215 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Matrix inverse is A215062.

LINKS

Table of n, a(n) for n=0..57.

EXAMPLE

[0] [1]

[1] [-1, 1]

[2] [1, -2, 1]

[3] [0, 3, -3, 1]

[4] [-3, 0, 6, -4, 1]

[5] [9, -15, 0, 10, -5, 1]

[6] [-18, 54, -45, 0, 15, -6, 1]

[7] [27, -126, 189, -105, 0, 21, -7, 1]

[8] [-27, 216, -504, 504, -210, 0, 28, -8, 1]

[9] [0, -243, 972, -1512, 1134, -378, 0, 36, -9, 1]

PROG

(Sage)

def A215063_triangle(dim): # See A215060 for function 'triangle'.

    var('x, z')

    f = exp(x*(z-3/2))*((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3)

    return triangle(f, dim)

A215063_triangle(12)

CROSSREFS

Cf. A215060, A215061, A215062, A215064, A215065.

Sequence in context: A121548 A180179 A215062 * A316781 A290733 A113020

Adjacent sequences:  A215060 A215061 A215062 * A215064 A215065 A215066

KEYWORD

sign,tabl

AUTHOR

Peter Luschny, Aug 01 2012

STATUS

approved

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Last modified June 17 00:17 EDT 2021. Contains 345080 sequences. (Running on oeis4.)