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A194531 Numerator of row 4 in A051714(n) or row 3 in A176672(n). 3
0, 1, 1, 2, 5, 5, 7, 28, 3, 15, 55, 22, 13, 91, 35, 40, 34, 51, 57, 190, 35, 77, 253, 92, 25, 325, 117, 126, 203, 145, 155, 496, 44, 187, 595, 210, 111, 703, 247, 260, 205, 287, 301, 946, 165, 345, 1081, 376, 98, 1225, 425 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Akiyama-Tanigawa algorithm from 1/n leads to Bernoulli A164555(n)/A027642(n):

1,   1/2,  1/3,  1/4,

1/2, 1/3,  1/4,  1/5,

1/6, 1/6, 3/20, 2/15,           =A026741(n+1)/A045896(n+1),

0,  1/30, 1/20, 2/35, 5/84, 5/84, 7/120, 28/495  =a(n)/b(n).

LINKS

Table of n, a(n) for n=0..50.

MATHEMATICA

a[0, k_] := 1/(k+1); a[n_, k_] := a[n, k] = (k+1)*(a[n-1, k] - a[n-1, k+1]); Table[a[3, k], {k, 0, 50}] // Numerator (* Jean-Fran├žois Alcover, Sep 19 2012 *)

CROSSREFS

Cf. A193220 (denominators).

Sequence in context: A329813 A165917 A165898 * A092394 A027438 A334388

Adjacent sequences:  A194528 A194529 A194530 * A194532 A194533 A194534

KEYWORD

nonn,frac

AUTHOR

Paul Curtz, Aug 28 2011

STATUS

approved

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Last modified May 16 22:18 EDT 2021. Contains 343957 sequences. (Running on oeis4.)