The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A308379 E.g.f. A(x) satisfies: A(x) = x * Product_{k>=1} 1/(1 - A(x^k))^(1/k). 1
 1, 2, 15, 152, 2255, 40944, 938161, 25026896, 777966129, 27346727600, 1077001807871, 46870231698168, 2235954785893231, 115950345421719704, 6496012991027031585, 390935629387700612384, 25153144712405994085409, 1722934940168892344912928, 125180348349211811174365615 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA E.g.f. A(x) satisfies: A(x) = x * exp(Sum_{k>=1} Sum_{d|k} A(x^d)^(k/d) / k). MATHEMATICA terms = 19; A[_] = 0; Do[A[x_] = x Product[1/(1 - A[x^k])^(1/k), {k, 1, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x] Range[0, terms]! // Rest CROSSREFS Cf. A050383, A308369, A308380. Sequence in context: A325060 A002103 A191364 * A233832 A185756 A239107 Adjacent sequences:  A308376 A308377 A308378 * A308380 A308381 A308382 KEYWORD nonn AUTHOR Ilya Gutkovskiy, May 23 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 15 16:02 EDT 2020. Contains 336505 sequences. (Running on oeis4.)