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 A098145 p + P(p) where p is the n-th prime and P(p) is the unrestricted partition number of p. 4
 4, 6, 12, 22, 67, 114, 314, 509, 1278, 4594, 6873, 21674, 44624, 63304, 124801, 329984, 831879, 1121566, 2679756, 4697276, 6185762, 13848729, 23338552, 49996014, 133231027, 214481227, 271249053, 431149496, 541946349, 851376741 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = A000040(n) + A000041(A000040(n)). EXAMPLE If p=17, P(p) = 297 and 17 + 297 = 314. MAPLE a:= n-> (p-> p+combinat[numbpart](p))(ithprime(n)): seq(a(n), n=1..30);  # Alois P. Heinz, Aug 26 2015 MATHEMATICA Table[Prime[n] + PartitionsP[Prime[n]], {n, 1, 50}] (* Stefan Steinerberger, Feb 28 2006 *) CROSSREFS Cf. A000040, A000041. Sequence in context: A050558 A331192 A255843 * A307189 A054167 A303198 Adjacent sequences:  A098142 A098143 A098144 * A098146 A098147 A098148 KEYWORD nonn AUTHOR Parthasarathy Nambi, Sep 28 2004 EXTENSIONS More terms from Stefan Steinerberger, Feb 28 2006 STATUS approved

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Last modified April 15 11:07 EDT 2021. Contains 342977 sequences. (Running on oeis4.)