A089383 -id:A089383

Search: a089383 -id:a089383

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A297193

Irregular triangle read by rows: rows are partial alternating sums of rows of A297191.

+10
2

1, 1, 4, 1, 1, 8, 17, 8, 1, 1, 12, 49, 80, 49, 12, 1, 1, 16, 97, 280, 401, 280, 97, 16, 1, 1, 20, 161, 672, 1569, 2084, 1569, 672, 161, 20, 1, 1, 24, 241, 1320, 4321, 8752, 11073, 8752, 4321, 1320, 241, 24, 1, 1, 28, 337, 2288, 9681, 26684, 48833, 59712, 48833, 26684, 9681

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..59.

I. Sugai, Numerical solutions of Laplace's Equation, given Cauchy conditions, IBM Journal 3 (1959), 187-188. (Annotated scanned copy.) A signed version of the triangle appears on page 188, but the signs are not important.

EXAMPLE

Triangle begins:

1,4,1,

1,8,17,8,1,

1,12,49,80,49,12,1,

1,16,97,280,401,280,97,16,1,

1,20,161,672,1569,2084,1569,672,161,20,1,

...

MAPLE

A297191x := proc(n, k)

A008288(2*n+1, k) ;

end proc:

A297193 := proc(n, k)

add((-1)^(i+1)*A297191x(n, i), i=0..k) ;

abs(%) ;

end proc:

seq(seq(A297193(n, k), k=0..2*n), n=0..10) ; # R. J. Mathar, Mar 04 2018

CROSSREFS

Cf. A008288, A297191, A297194.

The middle and next to middle columns are A089165 and A089383.

KEYWORD

nonn,tabf

AUTHOR

N. J. A. Sloane, Jan 10 2018

STATUS

approved

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