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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A342096 Number of integer partitions of n with no adjacent parts having quotient >= 2. 37
 1, 2, 2, 3, 3, 4, 4, 6, 6, 8, 9, 11, 13, 17, 19, 24, 29, 35, 42, 51, 61, 75, 90, 108, 130, 158, 189, 227, 272, 325, 389, 464, 553, 659, 782, 929, 1102, 1306, 1545, 1824, 2153, 2538, 2989, 3514, 4127, 4842, 5673, 6642, 7766, 9068, 10583, 12335, 14361, 16705 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The decapitation of such a partition (delete the greatest part) is term-wise greater than its negated first-differences. LINKS Fausto A. C. Cariboni, Table of n, a(n) for n = 1..250 EXAMPLE The a(1) = 1 through a(10) = 8 partitions: 1 2 3 4 5 6 7 8 9 A 11 111 22 32 33 43 44 54 55 1111 11111 222 322 53 333 64 111111 1111111 332 432 433 2222 3222 532 11111111 111111111 3322 22222 1111111111 MATHEMATICA Table[Length[Select[IntegerPartitions[n], And@@Thread[Differences[-#]

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 September 12 12:46 EDT 2024. Contains 375851 sequences. (Running on oeis4.)