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 A270345 Composite integers n such that the sum of the Pell numbers A000129(0) + ... + A000129(n-1) is divisible by n. 1
 4, 8, 16, 24, 32, 48, 64, 72, 96, 120, 128, 144, 168, 169, 192, 216, 240, 256, 264, 272, 288, 336, 360, 384, 385, 432, 480, 504, 512, 528, 544, 576, 600, 648, 672, 720, 768, 792, 816, 840, 864, 960, 961, 1008, 1024, 1056, 1080, 1088, 1105, 1121, 1152, 1176, 1200, 1296, 1320, 1344 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Nonprime terms of A270342. Terms that are not divisible by 4 are 169, 385, 961, 1105, 1121, 3827, 4901, 6265, 6441, 6601, 7107, 7801, 8119, ... LINKS EXAMPLE 4 is a term because 0 + 1 + 2 + 5 = 8 is divisible by 4. 8 is a term because 0 + 1 + 2 + 5 + 12 + 29 + 70 + 169 = 288 is divisible by 8. PROG (PARI) a048739(n) = local(w=quadgen(8)); -1/2+(3/4+1/2*w)*(1+w)^n+(3/4-1/2*w)*(1-w)^n; for(n=1, 1e3, if(a048739(n-1) % (n+1) == 0 && !isprime(n+1), print1(n+1, ", "))); CROSSREFS Cf. A000129, A048739, A270342. Sequence in context: A306219 A160746 A160740 * A335668 A181823 A308985 Adjacent sequences:  A270342 A270343 A270344 * A270346 A270347 A270348 KEYWORD nonn AUTHOR Altug Alkan, Mar 15 2016 STATUS approved

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Last modified November 25 10:26 EST 2020. Contains 338623 sequences. (Running on oeis4.)