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A094392
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Antidiagonals of the tables formed from b(m,2,n,n), which is defined in the reference.
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2
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1, 1, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 5, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1, 1, 3, 13, 1, 1, 1, 1, 1, 1, 5, 21, 1, 1, 1, 1, 1, 1, 2, 7, 34, 1, 1, 1, 1, 1, 1, 1, 3, 11, 55, 1, 1, 1, 1, 1, 1, 1, 1, 5, 16, 891, 1, 1, 1, 1, 1, 1, 1, 2, 7, 25, 144, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 11, 37, 233, 1, 1, 1, 1, 1, 1, 1, 1, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,6
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COMMENTS
| This sequence can be used to help find an extension for A006209.
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REFERENCES
| B.-S. Du, A simple method which generates infinitely many congruence indentities, Fib. Quart., 27 (1989), 116-124.
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LINKS
| Bau-Sen Du, A Simple Method Which Generates Infinitely Many Congruence Identities
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FORMULA
| For i=2 and k >= 1 b(k+2, 2, n, n)=b(k, 2, 1, n) + b(k+1, 2, n, n). The remaining portion for the recurrence is defined in the reference.
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EXAMPLE
| E.g. for m = 5 and n = 2, b(5,2,2,2)= b(3,2,1,2) + b(4,2,2,2)= 2 because of the definition in the reference.
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2 1 1 1 1 1 1 1 1 1 1 1 1 1 1
3 1 1 1 1 1 1 1 1 1 1 1 1 1 1
5 2 1 1 1 1 1 1 1 1 1 1 1 1 1
8 3 1 1 1 1 1 1 1 1 1 1 1 1 1
13 5 2 1 1 1 1 1 1 1 1 1 1 1 1
21 7 3 1 1 1 1 1 1 1 1 1 1 1 1
34 11 5 2 1 1 1 1 1 1 1 1 1 1 1
55 16 7 3 1 1 1 1 1 1 1 1 1 1 1
89 25 11 5 2 1 1 1 1 1 1 1 1 1 1
144 37 15 7 3 1 1 1 1 1 1 1 1 1 1
233 57 23 11 5 2 1 1 1 1 1 1 1 1 1
377 85 32 15 7 3 1 1 1 1 1 1 1 1 1
610 130 49 23 11 5 2 1 1 1 1 1 1 1 1
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MAPLE
| b := proc(k, i, j, n) option remember; if k = 1 then if i = 1 then return 0; end if; if i = 2 then if j = n then return 1; end if; return 0; end if; end if; if k = 2 then if i = 1 then return 1; end if; if i = 2 then if j = n then return 1; end if; return 0; end if; end if; if j = n then return b(k-2, i, 1, n) + b(k-1, i, n, n); end if; return b(k-2, i, 1, n) + b(k-2, i, j+1, n); end proc; (Deugau)
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CROSSREFS
| Cf. A006209.
Sequence in context: A178239 A085476 A124944 * A111946 A175788 A137844
Adjacent sequences: A094389 A094390 A094391 * A094393 A094394 A094395
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KEYWORD
| nonn,tabl
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AUTHOR
| Amy Robinson (amylou(AT)mchsi.com), Apr 28 2004
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EXTENSIONS
| Corrected and extended by Chris Deugau (deugaucj(AT)uvic.ca), Dec 19 2005
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