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 A259251 a(n) = 1 + sigma(n) + sigma(n)^2 + sigma(n)^3 + sigma(n)^4 + sigma(n)^5 + sigma(n)^6. 3
 7, 1093, 5461, 137257, 55987, 3257437, 299593, 12204241, 5229043, 36012943, 3257437, 499738093, 8108731, 199411801, 199411801, 917087137, 36012943, 3611342281, 67368421, 5622910567, 1108378657, 2238976117, 199411801, 47446779661, 917087137, 5622910567 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Price, Table of n, a(n) for n = 1..10000 FORMULA a(n) = 1 + A000203(n) + A000203(n)^2 + A000203(n)^3 + A000203(n)^4 + A000203(n)^5 + A000203(n)^6. a(n) = A053716(A000203(n)). - Michel Marcus, Jun 23 2015 MAPLE with(numtheory): A259251:=n->1 + sigma(n) + sigma(n)^2 + sigma(n)^3 + sigma(n)^4 + sigma(n)^5 + sigma(n)^6: seq(A259251(n), n=1..50); # Wesley Ivan Hurt, Jul 09 2015 MATHEMATICA Table[1 + DivisorSigma[1, n] + DivisorSigma[1, n]^2 + DivisorSigma[1, n]^3 + DivisorSigma[1, n]^4 + DivisorSigma[1, n]^5 + DivisorSigma[1, n]^6, {n, 10000}] Table[Cyclotomic[7, DivisorSigma[1, n]], {n, 10000}] f[n_] := Total[DivisorSigma[1, n]^Range[0, 6]]; Array[f, 26] (* Robert G. Wilson v *) PROG (PARI) vector(30, n, polcyclo(7, sigma(n))) \\ Michel Marcus, Jun 23 2015 (MAGMA) [1 + SumOfDivisors(n) + SumOfDivisors(n)^2 + SumOfDivisors(n)^3 + SumOfDivisors(n)^4 + SumOfDivisors(n)^5 + SumOfDivisors(n)^6: n in [1..50]]; // Vincenzo Librandi, Jun 26 2015 CROSSREFS Cf. A000203 (sum of divisors of n). Cf. A259252 (indices of primes in this sequence), A259253 (corresponding primes). Sequence in context: A139781 A101072 A203583 * A259253 A203871 A144927 Adjacent sequences:  A259248 A259249 A259250 * A259252 A259253 A259254 KEYWORD easy,nonn AUTHOR Robert Price, Jun 22 2015 STATUS approved

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Last modified October 20 20:24 EDT 2019. Contains 328273 sequences. (Running on oeis4.)