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 A345040 a(n) = Sum_{k=0..n} Stirling2(n,k)^k. 1
 1, 2, 3, 12, 268, 25853, 19339964, 68901690994, 1638901380861357, 363916628499805466764, 384738112277336112497203088, 4821999492342155731355029409443825, 448660704121129122524211570743600451959266, 270068948293205668896252888517768674319536620944042 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..13. MATHEMATICA Unprotect[Power]; 0^0 = 1; Table[Sum[StirlingS2[n, k]^k, {k, 0, n}], {n, 0, 13}] PROG (PARI) a(n) = sum(k=0, n, stirling(n, k, 2)^k) \\ Felix Fröhlich, Jun 06 2021 CROSSREFS Cf. A000110, A008277, A047797, A048993, A167008, A345041. Sequence in context: A012713 A009814 A362289 * A196378 A336848 A336838 Adjacent sequences: A345037 A345038 A345039 * A345041 A345042 A345043 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jun 06 2021 STATUS approved

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Last modified August 6 14:16 EDT 2024. Contains 374974 sequences. (Running on oeis4.)