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A349267 Generalized Euler numbers, a(n) = n!*[x^n](sec(8*x)*2*(sin(4*x) + cos(4*x))). 4
2, 8, 96, 1408, 29184, 739328, 22634496, 806453248, 32864600064, 1506300919808, 76717014122496, 4297849713983488, 262665886073094144, 17390688314209599488, 1239981021847665770496, 94727563504456856240128, 7719096548270543600615424, 668321603392783694711226368 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
For references and cross references, compare the overview in A349264.
LINKS
MAPLE
sec(8*x)*2*(sin(4*x) + cos(4*x)): series(%, x, 20): seq(n!*coeff(%, x, n), n = 0..17);
MATHEMATICA
m = 17; CoefficientList[Series[2 * Sec[8*x] * (Sin[4*x] + Cos[4*x]), {x, 0, m}], x] * Range[0, m]! (* Amiram Eldar, Nov 21 2021 *)
CROSSREFS
Bisections: A064069, A064073.
Cf. A349264.
Sequence in context: A319125 A297688 A126429 * A098272 A087540 A052713
KEYWORD
nonn
AUTHOR
Peter Luschny, Nov 21 2021
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)