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Search: id:A061027
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| A061027 |
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Stirling interpolation of f'(x) by (2n+1)-st differences. |
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+0
1
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| 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
(list; table; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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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)
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CROSSREFS
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First column: A033996.
Sequence in context: A092771 A098070 A100042 this_sequence A052656 A094061 A002268
Adjacent sequences: A061024 A061025 A061026 this_sequence A061028 A061029 A061030
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Frank.Ellermann(AT)t-online.de, May 25 2001
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