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Search: id:A141020
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| A141020 |
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Pascal-like triangle with index of asymmetry y=4 and index of obliqueness z=0. |
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+0
3
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| 1, 1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 8, 4, 2, 1, 1, 16, 8, 4, 2, 1, 1, 32, 16, 8, 4, 2, 1, 1, 63, 33, 16, 8, 4, 2, 1, 1, 124, 67, 33, 16, 8, 4, 2, 1, 1, 244, 136, 67, 33, 16, 8, 4, 2, 1, 1, 480, 276, 136, 67, 33, 16, 8, 4, 2, 1, 1
(list; graph; listen)
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OFFSET
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0,5
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COMMENT
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The left column is set to 1. The four rightmost columns start with powers of 2:
T(n,0)=T(n,n)=1; T(n,n-1)=2; T(n,n-2)=4; T(n,n-3)=8;
T(n,n-4)=16. Recurrence: T(n,k) = T(n-1,k) + T(n-2,k) + T(n-3,k) + T(n-4,k) + T(n-5,k) + T(n-5,k-1), k=1..n-5.
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EXAMPLE
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Pascal-like triangle (y=4, z=0) begins:
1
1 1
1 2 1
1 4 2 1
1 8 4 2 1
1 16 8 4 2 1
1 32 16 8 4 2 1
1 63 33 16 8 4 2 1
1 124 67 33 16 8 4 2 1
1 244 136 67 33 16 8 4 2 1
1 480 276 136 67 33 16 8 4 2 1
1 944 560 276 136 67 33 16 8 4 2 1
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MAPLE
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A141020 := proc(n, k) option remember ; if k<0 or k>n then 0 ; elif k=0 or k=n then 1 ; elif k=n-1 then 2 ; elif k=n-2 then 4 ; elif k=n-3 then 8 ; elif k=n-4 then 16 ; else procname(n-1, k) +procname(n-2, k)+procname(n-3, k)+procname(n-4, k) +procname(n-5, k)+procname(n-5, k-1) ; fi; end:
for n from 0 to 20 do for k from 0 to n do printf("%d, ", A141020(n, k)) ; od: od: # R. J. Mathar, Sep 19 2008
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CROSSREFS
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Cf. A007318.
Sequence in context: A059623 A140997 A140996 this_sequence A152568 A057728 A155038
Adjacent sequences: A141017 A141018 A141019 this_sequence A141021 A141022 A141023
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KEYWORD
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nonn
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AUTHOR
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Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 11 2008
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EXTENSIONS
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Partially edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 18 2008
Recurrence rewritten by R. J. Mathar, (mathar(AT)strw.leidenuniv.nl), Sep 19 2008
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