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 A277455 Arithmetic derivatives of the Motzkin numbers. 0
 0, 0, 1, 4, 6, 10, 20, 1, 36, 172, 2192, 3371, 1, 22327, 135561, 517656, 284492, 933118, 5446991, 24265724, 18238138, 93800069, 334654476, 1368408363, 2584589232, 1823879615, 25669818480, 41583822879, 1967330543, 29409700520, 1265785403, 3239855363874 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..31. FORMULA a(n) = A003415(A001006(n)). a(n) = 1 for n in A092831. MATHEMATICA Table[If[Abs@ # < 2, 0, # Total[#2/#1 & @@@ FactorInteger[Abs@ #]]] &@ Hypergeometric2F1[(1 - n)/2, -n/2, 2, 4], {n, 0, 31}] (* Michael De Vlieger, Oct 17 2016, after Michael Somos at A003415 and Peter Luschny at A001006 *) CROSSREFS Cf. A003415, A001006, A068329, A092831. Sequence in context: A076995 A096817 A220033 * A320124 A185913 A243119 Adjacent sequences: A277452 A277453 A277454 * A277456 A277457 A277458 KEYWORD nonn AUTHOR Paul Bedard, Oct 16 2016 EXTENSIONS More terms from Alois P. Heinz, Oct 16 2016 STATUS approved

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Last modified September 13 10:14 EDT 2024. Contains 375904 sequences. (Running on oeis4.)