id:A108934 - OEIS Search Results

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Triangle obtained by considering certain successive approximations to the Bell numbers.

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1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 4, 2, 1, 1, 0, 1, 8, 5, 2, 1, 1, 0, 1, 16, 14, 5, 2, 1, 1, 0, 1, 32, 41, 15, 5, 2, 1, 1, 0, 1, 64, 122, 51, 15, 5, 2, 1, 1, 0, 1, 128, 365, 187, 52, 15, 5, 2, 1, 1, 0, 1, 256, 1094, 715, 202, 52, 15, 5, 2, 1, 1 (list; table; graph; listen)

	OFFSET	`0,13`
	FORMULA	`Each row has e.g.f. given by a truncated exponential series in exp(x)-1. For example the e.g.f. = 1 + (exp(x)-1) + (1/2)(exp(x)-1)^2 gives the sequence 1, 1, 2, 4, 8, 16... . Alternatively, first differences of columns gives triangle of Stirling numbers of 2nd kind A008277.`
	CROSSREFS	`Cf. A000110.` `Sequence in context: A070878 A060959 A077042 this_sequence A108947 A097608 A105469` `Adjacent sequences: A108931 A108932 A108933 this_sequence A108935 A108936 A108937`
	KEYWORD	`easy,nonn,tabl`
	AUTHOR	`Paul Boddington (psb(AT)maths.warwick.ac.uk), Jul 20 2005`

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.

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