id:A112498 - OEIS Search Results

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Third column of second-order Eulerian triangle A008517 divided by 2.

+0
2

3, 29, 164, 726, 2805, 9975, 33630, 109424, 347519, 1085313, 3349848, 10253994, 31203945, 94561643, 285716018, 861472836, 2593592883, 7800176565, 23441423340, 70410252350, 211411111133, 634610819679, 1904620987014 (list; graph; listen)

	OFFSET	`3,1`
	COMMENT	`See A004301 for the doubled sequence.`
	FORMULA	`a(n)=A008517(n, 3)/2.` `G.f.: x^3(3-x-6x^2)/(((1-x)^3)((1-2x)^2)(1-3x)). See the comment on column g.f.s under A008517.` `a(n) = 3a(n-1) + (2n-3)(2^(n-1)-n), n>3, with a(3)=3.` `a(n)= 3A112502(n-3) - A112502(n-4) - 6*A112502(n-5), n>=5.`
	CROSSREFS	`Cf. A000295 (one half of second column).` `Sequence in context: A094809 A096028 A137786 this_sequence A118584 A126185 A083092` `Adjacent sequences: A112495 A112496 A112497 this_sequence A112499 A112500 A112501`
	KEYWORD	`nonn,easy`
	AUTHOR	`Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 14 2005`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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