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A265404 a(n) = number of Spironacci numbers (A078510) needed to sum to n using the greedy algorithm. 5
0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,18

COMMENTS

a(0) = 0, because no numbers are needed to form an empty sum, which is zero.

First 2 occurs as a(17), first 3 at a(234), first 4 at a(3266).

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..10132

EXAMPLE

For n=17, the largest Spironacci number <= 17 is 16 (= A078510(22)). 17 - 16 = 1, which is A078510(1), thus 17 = A078510(22) + A078510(1), requiring only two such numbers for its sum, thus a(17) = 2.

For n=234, the largest Spironacci number <= 234 is 217 (= A078510(45)). 234-217 = 17 (whose decomposition is shown above), so 234 = A078510(45) + A078510(22) + A078510(1), thus a(234) = 3.

CROSSREFS

Cf. A078510 (from its term a(7) onward gives also the positions of ones here).

Cf. also A007895, A053610, A265743, A265744, A265745.

Sequence in context: A113189 A143098 A225515 * A274353 A183028 A114284

Adjacent sequences:  A265401 A265402 A265403 * A265405 A265406 A265407

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 16 2015

STATUS

approved

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Last modified June 25 05:41 EDT 2019. Contains 324346 sequences. (Running on oeis4.)