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 A168021 Triangle T(n,k) read by rows in which row n lists the number of partitions of n into parts divisible by k. 13
 1, 2, 1, 3, 0, 1, 5, 2, 0, 1, 7, 0, 0, 0, 1, 11, 3, 2, 0, 0, 1, 15, 0, 0, 0, 0, 0, 1, 22, 5, 0, 2, 0, 0, 0, 1, 30, 0, 3, 0, 0, 0, 0, 0, 1, 42, 7, 0, 0, 2, 0, 0, 0, 0, 1, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 77, 11, 5, 3, 0, 2, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The row-reversed version is A168016; the row sums are A047968. Also see A168020. LINKS FORMULA T(n,k) = A000041(n/k) if k|n, else T(n,k)=0. EXAMPLE Triangle begins: ============================================== ...... k: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10 11 12 ============================================== n=1 ..... 1, n=2 ..... 2, 1, n=3 ..... 3, 0, 1, n=4 ..... 5, 2, 0, 1, n=5 ..... 7, 0, 0, 0, 1, n=6 .... 11, 3, 2, 0, 0, 1, n=7 .... 15, 0, 0, 0, 0, 0, 1, n=8 .... 22, 5, 0, 2, 0, 0, 0, 1, n=9 .... 30, 0, 3, 0, 0, 0, 0, 0, 1, n=10 ... 42, 7, 0, 0, 2, 0, 0, 0, 0, 1, n=11 ... 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, n=12 ... 77,11, 5, 3, 0, 2, 0, 0, 0, 0, 0, 1, ... CROSSREFS Cf. A000041, A035377, A035444, A135010, A138121, A168020. Cf. A168016 - A168019. [From Omar E. Pol, Nov 23 2009] Sequence in context: A096798 A158902 A137587 * A137639 A239631 A113288 Adjacent sequences:  A168018 A168019 A168020 * A168022 A168023 A168024 KEYWORD easy,nonn,tabl AUTHOR Omar E. Pol, Nov 20 2009, Nov 21 2009 EXTENSIONS Edited by Charles R Greathouse IV, Mar 23 2010 STATUS approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)