A374186 - OEIS

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A374186

a(n) = ceiling(Integral_{t=0..n} floor(exp(t)) dt). The Waldvogel sequence.

1

0, 2, 6, 18, 52, 145, 400, 1093

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OFFSET

0,2

COMMENTS

Named after Prof. Jörg Waldvogel (Swiss mathematician). For the variant using the floor of the approximation see A374185.

Is this, apart from a shift, the same as A245285?

LINKS

Table of n, a(n) for n=0..7.

Pedro Gonnet, A Review of Error Estimation in Adaptive Quadrature, ACM Computing Surveys, 2012, arXiv:1003.4629 [cs.NA]. (p. 31, 32.)

CROSSREFS

Variant: A374185.

Cf. A245285, A128104.

Sequence in context: A192237 A034525 A018249 * A245285 A128104 A318570

Adjacent sequences: A374183 A374184 A374185 * A374187 A374188 A374189

KEYWORD

nonn,more,hard

AUTHOR

Peter Luschny, Jul 07 2024

STATUS

approved