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 A112498 Third column of second-order Eulerian triangle A008517 divided by 2. 1
 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; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS See A004301 for the doubled sequence. LINKS Table of n, a(n) for n=3..25. FORMULA a(n)=A008517(n, 3)/2. G.f.: x^3*(3-x-6*x^2)/(((1-x)^3)*((1-2*x)^2)*(1-3*x)). See the comment on column g.f.s under A008517. a(n) = 3*a(n-1) + (2*n-3)*(2^(n-1)-n), n>3, with a(3)=3. a(n)= 3*A112502(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 * A227694 A118584 A126185 Adjacent sequences: A112495 A112496 A112497 * A112499 A112500 A112501 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 14 2005 STATUS approved

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Last modified April 14 14:09 EDT 2024. Contains 371665 sequences. (Running on oeis4.)