id:A087803 - OEIS Search Results

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Number of equations (order conditions) that must be satisfied to achieve order n in the construction of a Runge-Kutta method for the numerical solution of an ordinary differential equation.

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1, 2, 4, 8, 17, 37, 85, 200, 486, 1205, 3047, 7813, 20299, 53272, 141083, 376464, 1011311, 2732470, 7421146, 20247374, 55469206, 152524387, 420807242, 1164532226, 3231706871, 8991343381, 16083734329, 53998409650 (list; graph; listen)

	OFFSET	`1,2`
	REFERENCES	`Butcher, J. C., The Numerical Analysis of Ordinary Differential Equations, (1987) Wiley, Chichester` `See link for more references.`
	LINKS	`I. Th. Famelis, S. N. Papakostas and Ch. Tsitouras Symbolic Derivation of Runge-Kutta Order Conditions.`
	CROSSREFS	`a(n) = Sum_(k=1..n) A000081(k)` `Sequence in context: A004148 A085022 A003426 this_sequence A036374 A084635 A154222` `Adjacent sequences: A087800 A087801 A087802 this_sequence A087804 A087805 A087806`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 12 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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