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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; internal format)
OFFSET

3,1

COMMENTS

See A004301 for the doubled sequence.

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 * A118584 A126185 A083092

Adjacent sequences:  A112495 A112496 A112497 * 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 February 16 21:51 EST 2012. Contains 205978 sequences.