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A258308 Row sums of A258307. 2
1, 1, 3, 7, 24, 74, 277, 997, 4016, 16029, 68802, 296740, 1347175, 6185975, 29530010, 143008050, 714469780, 3625572745, 18884279461, 99936069760, 540947985741, 2974463266900, 16686653393208, 95053009906135, 551356966419818, 3245644584299434, 19425857465136193 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..500

FORMULA

a(n) = Sum_{k=0..floor(n/2)} A258307(n,k).

MAPLE

b:= proc(x, y, t, k) option remember; `if`(y>x or y<0, 0,

      `if`(x=0, 1, b(x-1, y-1, false, k)*`if`(t, (x+k*y)/y, 1)

                  +b(x-1, y, false, k) +b(x-1, y+1, true, k)))

    end:

A:= (n, k)-> b(n, 0, false, k):

T:= proc(n, k) option remember;

       add(A(n, i)*(-1)^(k-i)*binomial(k, i), i=0..k)/k!

    end:

a:= n-> add(T(n, k), k=0..n/2):

seq(a(n), n=0..30);

CROSSREFS

Cf. A258307.

Sequence in context: A148717 A148718 A003449 * A148719 A138541 A290750

Adjacent sequences:  A258305 A258306 A258307 * A258309 A258310 A258311

KEYWORD

nonn

AUTHOR

Alois P. Heinz, May 25 2015

STATUS

approved

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Last modified August 20 22:45 EDT 2019. Contains 326155 sequences. (Running on oeis4.)