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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A244237 Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)). 0 -1, 3, -11, 2, -61, 2, -83, 2, -61, 2, -127, 2, -6151, 2, -5, 2, -4637, 2, 42271, 2, -175241, 2, 854237, 2, -236369551, 2, 8553091, 2, -23749462769, 2, 8615841247361, 2, -7709321042237, 2, 2577687858355, 2, -26315271553057315753, 2 (list; graph; refs; listen; history; text; internal format) OFFSET 0,2 COMMENTS See A244213. (The binomial transform of A198631(n)/A006519(n+1) is A143074(n)/A006519(n+1)). Difference table of -1 followed by A164555(n+1)/A027642(n+1), see A190339: -1, 1/2, 1/6, 0, -1/30, 0, 1/42, 0,... 3/2, -1/3, -1/6, -1/30, 1/30, 1/42, -1/42,... -11/6, 1/6, 2/15, 1/15, -1/105, -1/21,... 2, -1/30, -1/15, -8/105, -4/105,... -61/30, -1/30, -1/105, 4/105,... 2, 1/42, 1/21,.. -83/42, 1/42,... 2,... etc. The corresponding denominators to a(n) are A027642(n). See A085738. From the second Bernoulli numbers. LINKS Table of n, a(n) for n=0..37. FORMULA (A164555(n+2) - a(n+2))/A027642(n+2)) = (-1)^n*2. CROSSREFS Cf. A190339, A235774, A244213, A085738, A164555, A027642, A143074, A006519. Sequence in context: A133369 A110123 A110221 * A238683 A303114 A359990 Adjacent sequences: A244234 A244235 A244236 * A244238 A244239 A244240 KEYWORD sign,frac AUTHOR Paul Curtz, Jun 23 2014 EXTENSIONS a(12)-a(37) from Jean-François Alcover STATUS approved

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Last modified August 29 06:09 EDT 2024. Contains 375510 sequences. (Running on oeis4.)