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 A331080 a(n) = Sum_{i=1..n} d_3(i)*d_3(i+1), where d_3(n) = A007425(n). 3
 3, 12, 30, 48, 75, 102, 132, 192, 246, 273, 327, 381, 408, 489, 624, 669, 723, 777, 831, 993, 1074, 1101, 1191, 1371, 1425, 1515, 1695, 1749, 1830, 1911, 1974, 2163, 2244, 2325, 2649, 2757, 2784, 2865, 3135, 3225, 3306, 3387, 3441, 3765, 3927, 3954, 4089, 4359, 4467, 4629, 4791, 4845, 4935, 5205, 5475 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For background references see A330570. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 FORMULA a(n) = 3 * A331081(n). - Amiram Eldar, Apr 19 2024 MATHEMATICA f[p_, e_] := (e+1)*(e+2)/2; s[1] = 1; s[n_] := Times @@ f @@@ FactorInteger[n]; With[{t = Array[s, 100]}, Accumulate[Most[t] * Rest[t]]] (* Amiram Eldar, Apr 19 2024 *) CROSSREFS Cf. A007425, A331081, A331130. Sequence in context: A199035 A101459 A051408 * A164013 A057671 A027480 Adjacent sequences: A331077 A331078 A331079 * A331081 A331082 A331083 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 10 2020 STATUS approved

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Last modified June 23 01:45 EDT 2024. Contains 373629 sequences. (Running on oeis4.)