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A261518 a(n+1) = prime(n + a(n)) - prime(n), a(1) = 1. 1
1, 1, 2, 6, 22, 92, 508, 3674, 34452, 408104, 5925564, 103023888, 2102941162, 49588317960, 1332831700026, 40376512041704, 1365483356241318, 51130344360226830, 2104788801045148866 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..19.

MATHEMATICA

FoldList[(Prime[#2+#1]-Prime[#2])&, 1, Range@15] (* Ivan N. Ianakiev, Aug 23 2015 *)

RecurrenceTable[{a[n+1] == Prime[n+a[n]] - Prime[n], a[1]==1}, a, {n, 1, 16}] (* G. C. Greubel, Aug 24 2015 *)

nxt[{n_, a_}]:={n+1, Prime[n+a]-Prime[n]}; NestList[nxt, {1, 1}, 16][[All, 2]] (* Harvey P. Dale, May 15 2018 *)

PROG

(Haskell)

a261518 n = a261518_list !! (n - 1)

a261518_list = 1 : zipWith (-)

               (map a000040 (zipWith (+) a261518_list [1..])) a000040_list

(MAGMA) [1] cat [n le 1 select 1 else  NthPrime(n + Self(n-1)) - NthPrime(n): n in [1..12]]; // Vincenzo Librandi, Aug 24 2015

(PARI) a(n) = if(n==1, 1, prime(n-1 + a(n-1)) - prime(n-1));

vector(12, n, a(n)) \\ Altug Alkan, Oct 05 2015

CROSSREFS

Cf. A000040, A001223, A031131, A031165, A031166, A031167, A031168, A031169, A031170, A031171, A031172.

Sequence in context: A074664 A091768 A229741 * A185349 A317652 A150274

Adjacent sequences:  A261515 A261516 A261517 * A261519 A261520 A261521

KEYWORD

nonn,more

AUTHOR

Reinhard Zumkeller, Aug 23 2015

EXTENSIONS

a(13)-a(16) from Ivan N. Ianakiev, Aug 23 2015

a(17)-a(19) from Jinyuan Wang, Jun 27 2020

STATUS

approved

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Last modified December 2 22:48 EST 2020. Contains 338897 sequences. (Running on oeis4.)