The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A160019

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A160019

Triangle: Lodumo_2 applied to each row of Pascal's triangle .
(history; published version)

#15 by Susanna Cuyler at Sun Feb 02 22:22:46 EST 2020

STATUS

proposed

approved

#14 by Andrew Howroyd at Sun Feb 02 22:22:34 EST 2020

STATUS

editing

proposed

#13 by Andrew Howroyd at Sun Feb 02 21:54:40 EST 2020

CROSSREFS

Row sums are A160020.

#12 by Andrew Howroyd at Sun Feb 02 21:53:04 EST 2020

CROSSREFS

Cf. A007318, A047999, A261363.

#11 by Andrew Howroyd at Sun Feb 02 21:47:56 EST 2020

LINKS

Andrew Howroyd, <a href="/A160019/b160019.txt">Table of n, a(n) for n = 0..1325</a>

OEIS wiki, <a href="https://oeis.org/wiki/Lodumo_transform">Lodumo transform</a>

PROG

(PARI) \\ here S(n, k) is A047999.

S(n, k)={bitand(n-k, k)==0}

row(n)={my(v=vector(n+1), b=0); for(k=0, n, if(S(n, k), b++; v[1+k]=2*b-1, v[1+k]=2*(k-b))); v}

{ for(n=0, 10, print(row(n))) } \\ Andrew Howroyd, Feb 02 2020

STATUS

approved

editing

#10 by Jon E. Schoenfield at Sat Jan 25 00:31:51 EST 2020

STATUS

editing

approved

#9 by Jon E. Schoenfield at Sat Jan 25 00:31:49 EST 2020

NAME

Triangle : Lodumo_2 applied to each row of Pascal's triangle .

FORMULA

T(n,0)=A000012(n)=1 ; T(n,1)=A010674(n). - From __Philippe Deléham_, Nov 15 2011

EXAMPLE

Triangle begins : 1 ; 1,3 ; 1,0,3 ; 1,3,5,7 ; 1,0,2,4,3 ; 1,3,0,2,5,7 ; ...

Triangle begins:

1;

1, 3;

1, 0, 3;

1, 3, 5, 7;

1, 0, 2, 4, 3;

1, 3, 0, 2, 5, 7; ...

CROSSREFS

Cf. A007318, A047999.

STATUS

approved

editing

#8 by N. J. A. Sloane at Sun Sep 08 19:59:25 EDT 2013

FORMULA

T(n,0)=A000012(n)=1 ; T(n,1)=A010674(n). - From _Philippe Deléham, _, Nov 15 2011

Discussion

Sun Sep 08

19:59

OEIS Server: https://oeis.org/edit/global/1941

#7 by N. J. A. Sloane at Sun Sep 08 13:31:40 EDT 2013

AUTHOR

_Philippe DELEHAM_, Deléham_, Apr 29 2009, May 02 2009

Discussion

Sun Sep 08

13:31

OEIS Server: https://oeis.org/edit/global/1938

#6 by N. J. A. Sloane at Fri Feb 22 14:39:37 EST 2013

FORMULA

T(n,0)=A000012(n)=1 ; T(n,1)=A010674(n). - From DELEHAM Philippe, Deléham, Nov 15 2011

Discussion

Fri Feb 22

14:39

OEIS Server: https://oeis.org/edit/global/1863