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 A252748 a(n) = A003961(n) - 2*n. 8
 -1, -1, -1, 1, -3, 3, -3, 11, 7, 1, -9, 21, -9, 5, 5, 49, -15, 39, -15, 23, 13, -5, -17, 87, -1, -1, 71, 43, -27, 45, -25, 179, -1, -11, 7, 153, -33, -7, 7, 109, -39, 81, -39, 29, 85, -5, -41, 309, 23, 47, -7, 49, -47, 267, -19, 185, 1, -23, -57, 195, -55, -13, 149, 601, -11, 63, -63, 35, 7, 91, -69, 531, -67, -25, 95, 55, -11, 99 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A003961(n) - 2*n. a(n) = A252750(A156552(n)). a(n) = A286385(n) - A033879(n). - Antti Karttunen, May 13 2017 Other identities. For all n >= 1: sign(a(n)) = (-1)^(1+A252742(n)). MATHEMATICA Table[Times @@ Map[#1^#2 & @@ # &, FactorInteger[n] /. {p_, e_} /; e > 0 :> {Prime[PrimePi@ p + 1], e}] - Boole[n == 1] - 2 n, {n, 78}] (* Michael De Vlieger, May 14 2017 *) PROG (Scheme) (define (A252748 n) (- (A003961 n) (* 2 n))) CROSSREFS Partial sums: A252749. Cf. A246282 (positions of the positive terms), A252742 (their characteristic function). Cf. A003961, A033879, A252750, A156552, A249820, A286385, A286448. Sequence in context: A274487 A141794 A129227 * A097161 A274993 A233202 Adjacent sequences:  A252745 A252746 A252747 * A252749 A252750 A252751 KEYWORD sign AUTHOR Antti Karttunen, Dec 21 2014 STATUS approved

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Last modified August 19 13:00 EDT 2017. Contains 290807 sequences.