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 A083237 First order recursion: a(0)=5; a(n)=prime(n)-a(n-1). 3
 5, -3, 6, -1, 8, 3, 10, 7, 12, 11, 18, 13, 24, 17, 26, 21, 32, 27, 34, 33, 38, 35, 44, 39, 50, 47, 54, 49, 58, 51, 62, 65, 66, 71, 68, 81, 70, 87, 76, 91, 82, 97, 84, 107, 86, 111, 88, 123, 100, 127, 102, 131, 108, 133, 118, 139, 124, 145, 126, 151, 130, 153, 140, 167, 144, 169, 148, 183, 154, 193, 156, 197, 162, 205, 168, 211, 172 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Same function as in A083236 but initial value = 5. LINKS FORMULA Same implicit relationship: a(n-1)+a(n)=prime(n), the n-th prime; It follows also that A001223(n)=a(n+1)-a(n-1). MAPLE A083237 := proc(n)     option remember ;     if n = 0 then         5 ;     else         ithprime(n)-procname(n-1) ;     end if; end proc: seq(A083237(n), n=0..100) ; # R. J. Mathar, Jun 20 2021 MATHEMATICA RecursionLimit\$=10000; f[x_] := Prime[x]-f[x-1]; f[0]=5; Table[f[w], {w, 1, 100}] CROSSREFS Cf. A000040, A001223. Sequence in context: A019212 A201928 A021655 * A072424 A089250 A155681 Adjacent sequences:  A083234 A083235 A083236 * A083238 A083239 A083240 KEYWORD sign AUTHOR Labos Elemer, Apr 23 2003 EXTENSIONS a(0) preprended. - R. J. Mathar, Jun 20 2021 STATUS approved

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Last modified June 26 00:12 EDT 2022. Contains 354870 sequences. (Running on oeis4.)