A061027 Stirling interpolation of f'(x) by (2n+1)-st differences.

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

Offset

1,1

Links

Table of n, a(n) for n=1..28.

Example

secant: ( f(x+1h) - f(x-h) ) / (1!*2h)
First row: ( f(x-2h) + 8*f(x+h) -[ 8*f(x-h) +f(x+2h) ] ) / (3!*2h)
2nd row: ( f(x+3h) +24*f(x-2h) +165*f(x+h) -[...] ) / (5!*2h)
3rd row: ( f(x-4h) +48*f(x+3h)+1022*f(x-2h)+6944*f(x+h) -[...] ) / (7!*2h)

Crossrefs

First column: A033996.

Sequence in context: A279483 A098070 A100042 * A226962 A221784 A052656

Adjacent sequences: A061024 A061025 A061026 * A061028 A061029 A061030

Keyword

nonn,easy,tabl

Author

Frank Ellermann, May 25 2001

Status

approved