A116426 The number of n-almost primes less than or equal to 4^n, starting with a(0)=1.

1, 2, 6, 13, 34, 77, 177, 406, 887, 1962, 4225, 9094, 19482, 41414, 87706, 184976, 389357, 816193, 1708412, 3566209, 7431153, 15457234, 32098652, 66560309, 137830562, 285062028, 588871107, 1215176367, 2505048537, 5159228725

Offset

0,2

Links

Table of n, a(n) for n=0..29.

Mathematica

AlmostPrimePi[k_Integer, n_] := Module[{a, i}, a[0] = 1; If[k == 1, PrimePi[n], Sum[PrimePi[n/Times @@ Prime[ Array[a, k - 1]]] - a[k - 1] + 1, Evaluate[ Sequence @@ Table[{a[i], a[i - 1], PrimePi[(n/Times @@ Prime[Array[a, i - 1]])^(1/(k - i + 1))]}, {i, k - 1}]]]]]; Eric W. Weisstein Feb 07 2006
Table[ AlmostPrimePi[n, 4^n], {n, 29}]

Crossrefs

Cf. A078840, A078841, A078842, A116432, A078843, A116426, A078844, A116427, A078845, A116428, A116429, A116430, A078846, A116431.

Sequence in context: A238827 A098407 A151390 * A196906 A162057 A026550

Adjacent sequences: A116423 A116424 A116425 * A116427 A116428 A116429

Keyword

nonn

Author

Robert G. Wilson v, Feb 10 2006

Status

approved