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A133299 1-based row-index of n in the Stolarsky array A035506. +0
1
1, 1, 1, 2, 1, 2, 3, 1, 4, 2, 3, 5, 1, 6, 4, 2, 7, 3, 5, 8, 1, 9, 6, 4, 10, 2, 11, 7, 3, 12, 5, 8, 13, 1, 14, 9, 6, 15, 4, 10, 16, 2, 17, 11, 7, 18, 3, 19, 12, 5, 20, 8, 13, 21, 1, 22, 14, 9, 23, 6, 15, 24, 4, 25, 10, 16, 26, 2, 27, 17, 11, 28, 7, 18, 29, 3, 30, 19, 12, 31, 5, 32, 20, 8, 33 (list; graph; listen)
OFFSET

1,4

COMMENT

Signature sequence of the entries in a Stolarsky array.

LINKS

E. Weisstein, Stolarsky Array

FORMULA

A035506(a(n),k)=n for some k>=1. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 21 2007

MAPLE

A035506 := proc(r, c) local tau, a, b, d, i ; tau := (1+sqrt(5))/2 ; a := floor( r*(1+tau)-tau/2) ; b := round(a*tau) ; if c = 1 then RETURN(a) ; else if c =2 then RETURN(b) ; else for i from 1 to c-2 do d := a+b ; a := b; b := d ; od: RETURN(d) ; fi ; fi ; end: A133299 := proc(n) local row, col ; for row from 1 do for col from 1 do stola := A035506(row, col) ; if stola = n then RETURN(row) ; elif stola > n then break ; fi ; od: od: end: seq(A133299(n), n=1..100) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 21 2007

CROSSREFS

Adjacent sequences: A133296 A133297 A133298 this_sequence A133300 A133301 A133302

Sequence in context: A139642 A021475 A132224 this_sequence A132163 A110582 A091298

KEYWORD

nonn

AUTHOR

Gregg K. Whisler (gwhisler(AT)msinnovation.info), Oct 17 2007

EXTENSIONS

Better definition from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2007

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 21 2007

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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