A002735 Related to Euler numbers. (Formerly M3486 N1417)

4, 14, 56, 331, 1324, 12284, 49136, 663061, 2652244, 49164554, 196658216, 4798037791, 19192151164, 596372040824, 2385488163296, 91991577140521, 367966308562084, 17244625801225094, 68978503204900376, 3861296322290987251

Offset

1,1

References

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=1..20.

C. Krishnamachary and M. Bheemasena Rao, Determinants whose elements are Eulerian, prepared Bernoullian and other numbers, J. Indian Math. Soc., 14 (1922), 55-62, 122-138 and 143-146. See p. 146. [Annotated scanned copy]

Formula

a(n) = b(2,n) where b(m,1) = m^2, b(m,2*n) = Sum_{k=1..m+1} b(k,2*n-1), b(m,2*n+1) = m^2 * b(m, 2*n). Note, A000364(n) = b(1, 2*n). - Sean A. Irvine, Sep 25 2015

Crossrefs

Cf. A000364, A259688.

Sequence in context: A126701 A309514 A151884 * A026652 A269134 A186828

Adjacent sequences: A002732 A002733 A002734 * A002736 A002737 A002738

Keyword

nonn

Author

N. J. A. Sloane

Extensions

More terms from Sean A. Irvine, Sep 25 2015

Status

approved