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A054686 Multiset consisting of squares and triangular numbers. 6
0, 0, 1, 1, 3, 4, 6, 9, 10, 15, 16, 21, 25, 28, 36, 36, 45, 49, 55, 64, 66, 78, 81, 91, 100, 105, 120, 121, 136, 144, 153, 169, 171, 190, 196, 210, 225, 231, 253, 256, 276, 289, 300, 324, 325, 351, 361, 378, 400, 406, 435, 441, 465, 484, 496, 528 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Terms of A001110 occur twice. [Reinhard Zumkeller, Aug 03 2011]

REFERENCES

Hofstadter, D. R., Fluid Concepts and Creative Analogies: Computer Models of the Fundamental Mechanisms of Thought, (together with the Fluid Analogies Research Group), NY: Basic Books, 1995. p. 15.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

MATHEMATICA

stnos[max_]:=Module[{sqmax=Floor[Sqrt[max]], trmax=Floor[(Sqrt[ 8max+1]- 1)/2]}, Sort[Join[Range[0, sqmax]^2, Accumulate[Range[0, trmax]]]]]; stnos[ 528] (* Harvey P. Dale, Feb 06 2012 *)

PROG

(Haskell)

a054686_list = merge a000290_list a000217_list where

merge xs'@(x:xs) ys'@(y:ys)

| x <= y = x : merge xs ys'

| otherwise = y : merge xs' ys

-- Reinhard Zumkeller, Aug 03 2011

(PARI) upTo(lim)=vecsort(concat(vector(sqrtint(lim\1)+1, n, (n-1)^2), vector(floor(sqrt(2+2*lim)+1/2), n, n*(n-1)/2))) \\ Charles R Greathouse IV, Aug 04 2011

CROSSREFS

Cf. A005214, A000217, A000290.

Sequence in context: A130904 A034706 A245810 * A005214 A268110 A124093

Adjacent sequences: A054683 A054684 A054685 * A054687 A054688 A054689

KEYWORD

nonn,easy

AUTHOR

Michael Somos, Apr 19 2000

EXTENSIONS

Offset fixed by Reinhard Zumkeller, Aug 04 2011

STATUS

approved

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Last modified November 30 05:38 EST 2022. Contains 358431 sequences. (Running on oeis4.)