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 A168016 Triangle T(n,k) read by rows in which row n list the number of partitions of n into parts divisible by k for k=n,n-1,...,1. 7
 1, 1, 2, 1, 0, 3, 1, 0, 2, 5, 1, 0, 0, 0, 7, 1, 0, 0, 2, 3, 11, 1, 0, 0, 0, 0, 0, 15, 1, 0, 0, 0, 2, 0, 5, 22, 1, 0, 0, 0, 0, 0, 3, 0, 30, 1, 0, 0, 0, 0, 2, 0, 0, 7, 42, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 1, 0, 0, 0, 0, 0, 2, 0, 3, 5, 11, 77, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101, 1, 0, 0, 0, 0, 0, 0, 2, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA T(n,k) = A000041(n/k) if k|n; otherwise T(n,k) = 0. In particular, T(n,1) = A000041(n). EXAMPLE Triangle begins: ============================================== .... k: 12 11 10. 9. 8. 7. 6. 5. 4. 3.. 2.. 1. ============================================== n=1 ....................................... 1, n=2 ................................... 1 , 2, n=3 ............................... 1 , 0 , 3, n=4 ............................ 1, 0 , 2 , 5, n=5 ......................... 1, 0, 0 , 0 , 7, n=6 ...................... 1, 0, 0, 2 , 3, 11, n=7 ................... 1, 0, 0, 0, 0 , 0, 15, n=8 ................ 1, 0, 0, 0, 2, 0 , 5, 22, n=9 ............. 1, 0, 0, 0, 0, 0, 3 , 0, 30, n=10 ......... 1, 0, 0, 0, 0, 2, 0, 0 , 7, 42, n=11 ...... 1, 0, 0, 0, 0, 0, 0, 0, 0 , 0, 56, n=12 ... 1, 0, 0, 0, 0, 0, 2, 0, 3, 5 ,11, 77, ... CROSSREFS Cf. A000005, A000041, A035363, A035444, A135010, A138121, A168014, A168015, A168020, A168021. Sequence in context: A247492 A113214 A280494 * A029323 A194849 A071802 Adjacent sequences:  A168013 A168014 A168015 * A168017 A168018 A168019 KEYWORD easy,nonn,tabl AUTHOR Omar E. Pol, Nov 21 2009 EXTENSIONS Edited and extended by Max Alekseyev, May 07 2010 STATUS approved

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Last modified October 22 06:54 EDT 2019. Contains 328315 sequences. (Running on oeis4.)