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A372402
Position of 2310^n among 11-smooth numbers A051038.
3
1, 283, 3847, 20996, 74228, 203084, 469053, 960396, 1797086, 3135610, 5173909, 8156188, 12377846, 18190320, 26005929, 36302854, 49629820, 66611231, 87951744, 114441450, 146960432, 186483973, 234087084, 290949702, 358361266, 437725888, 530566933, 638532124, 763398291, 907076258
OFFSET
0,2
COMMENTS
Also position of 2310^(n+1) in A147572.
MATHEMATICA
Table[
Sum[Floor@ Log[11, 2310^n/(2^i*3^j*5^k*7^m)] + 1,
{i, 0, Log[2, 2310^n]},
{j, 0, Log[3, 2310^n/2^i]},
{k, 0, Log[5, 2310^n/(2^i*3^j)]},
{m, 0, Log[7, 2310^n/(2^i*3^j*5^k)]}],
{n, 0, 8}]
PROG
(Python) # uses imports/function in A372401
print(list(islice(A372401gen(p=11), 7))) # Michael S. Branicky, Jun 05 2024
(Python)
from sympy import integer_log, prevprime
def A372402(n):
def g(x, m): return sum((x//3**i).bit_length() for i in range(integer_log(x, 3)[0]+1)) if m==3 else sum(g(x//(m**i), prevprime(m))for i in range(integer_log(x, m)[0]+1))
return g(2310**n, 11) # Chai Wah Wu, Sep 16 2024
CROSSREFS
KEYWORD
nonn
AUTHOR
Michael De Vlieger, Jun 03 2024
EXTENSIONS
a(14)-a(18) from Michael S. Branicky, Jun 05 2024
More terms from David A. Corneth, Jun 05 2024
STATUS
approved