The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A346852 Number of partitions of the (n+6)-multiset {0,...,0,1,2,...,n} with six 0's. 3
 11, 30, 105, 426, 1940, 9722, 52902, 309546, 1933171, 12809264, 89613587, 659255660, 5082342477, 40936552022, 343612396821, 2998777788602, 27155414911274, 254692965196866, 2470107851719160, 24734913573251578, 255396574564032443, 2715780007867965824 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Also number of factorizations of 2^6 * Product_{i=1..n} prime(i+1). LINKS Alois P. Heinz, Table of n, a(n) for n = 0..571 PROG (Python) from sympy import divisors, isprime, primorial from functools import cache @cache def T(n, m): # after Indranil Ghosh in A001055     if isprime(n): return 1 if n <= m else 0     s = sum(T(n//d, d) for d in divisors(n)[1:-1] if d <= m)     return s + 1 if n <= m else s def a(n): return (lambda x: T(x, x))(2**5 * primorial(n)) print([a(n) for n in range(1, 11)]) # Michael S. Branicky, Nov 30 2021 CROSSREFS Row n=6 of A346426. Cf. A346816. Sequence in context: A303856 A137411 A002755 * A157827 A242276 A196374 Adjacent sequences:  A346849 A346850 A346851 * A346853 A346854 A346855 KEYWORD nonn AUTHOR Alois P. Heinz, Aug 06 2021 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 16 17:26 EST 2022. Contains 350376 sequences. (Running on oeis4.)