

A061027


Stirling interpolation of f'(x) by (2n+1)st differences.


0



8, 24, 165, 48, 1022, 6944, 80, 3483, 73632, 500010, 120, 8844, 383240, 8099685, 55001232, 168, 18785, 1379872, 59785869, 1263551432, 8580192621, 224, 35370, 3945200, 289774030, 12555034128, 265345802722, 1801840451840
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OFFSET

1,1


LINKS



EXAMPLE

secant: ( f(x+1h)  f(xh) ) / (1!*2h)
First row: ( f(x2h) + 8*f(x+h) [ 8*f(xh) +f(x+2h) ] ) / (3!*2h)
2nd row: ( f(x+3h) +24*f(x2h) +165*f(x+h) [...] ) / (5!*2h)
3rd row: ( f(x4h) +48*f(x+3h)+1022*f(x2h)+6944*f(x+h) [...] ) / (7!*2h)


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



