A374186 -id:A374186

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Search: a374186 -id:a374186

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A374185

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

+10
1

0, 1, 5, 17, 51, 144, 399, 1092

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

COMMENTS

Named after Prof. Jörg Waldvogel (Swiss mathematician). For the variant using the ceiling of the approximation see A374186.

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.)

MAPLE

Digits := 40: W := n -> evalf(int(floor(exp(t)), t = 0...n)):

for n from 0 to 6 do floor(W(n)) od;

# recommended: plot(floor(exp(t)), t = 0..4);

CROSSREFS

Variant: A374186.

Cf. A245285, A128104.

KEYWORD

nonn,more,hard

AUTHOR

Peter Luschny, Jul 06 2024

STATUS

approved

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