The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A347543 Number of partitions of n into 7 or more parts. 4
 1, 2, 4, 7, 12, 19, 30, 45, 66, 95, 134, 186, 255, 345, 461, 611, 801, 1043, 1346, 1727, 2199, 2787, 3508, 4398, 5482, 6809, 8414, 10365, 12711, 15545, 18935, 23006, 27854, 33646, 40513, 48680, 58326, 69748, 83192, 99048, 117650, 139513, 165083, 195034, 229968, 270760 (list; graph; refs; listen; history; text; internal format)
 OFFSET 7,2 LINKS Table of n, a(n) for n=7..52. FORMULA G.f.: Sum_{k>=7} x^k / Product_{j=1..k} (1 - x^j). MATHEMATICA nmax = 52; CoefficientList[Series[Sum[x^k/Product[(1 - x^j), {j, 1, k}], {k, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 7] & CROSSREFS Cf. A000065, A004250, A008636, A035300, A035301, A347542, A347544, A347545, A347547. Sequence in context: A347542 A035298 A288342 * A343940 A288343 A298414 Adjacent sequences: A347540 A347541 A347542 * A347544 A347545 A347546 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Sep 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 16 11:31 EDT 2024. Contains 373429 sequences. (Running on oeis4.)