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A176775 Index of n as m-gonal number for the smallest possible m (=A176774(n)). 9
2, 2, 2, 3, 2, 2, 3, 4, 2, 3, 2, 2, 5, 4, 2, 3, 2, 2, 6, 4, 2, 3, 5, 2, 3, 7, 2, 3, 2, 2, 3, 4, 5, 8, 2, 2, 3, 4, 2, 3, 2, 2, 9, 4, 2, 3, 7, 2, 6, 4, 2, 3, 10, 2, 3, 4, 2, 3, 2, 2, 3, 8, 5, 11, 2, 2, 3, 7, 2, 3, 2, 2, 5, 4, 2, 12, 2, 2, 9, 4, 2, 3, 5, 2, 3, 4, 2, 3, 13, 8, 3, 4, 5, 6, 2, 2, 3, 10, 2, 3, 2, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

a(n)=2 iff A176774(n)=n.

LINKS

Michel Marcus, Table of n, a(n) for n = 3..10000

Eric Weisstein's World of Mathematics, Polygonal Number.

FORMULA

a(n) = (m-4+sqrt((m-4)^2+8*(m-2)*n)) / (2*m-4), where m = A176774(n).

PROG

(PARI) f(n) = {k=3; while (! ispolygonal(n, k), k++); k; } \\ A176774

a(n) = my(m=f(n)); (m-4+sqrtint((m-4)^2+8*(m-2)*n)) / (2*m-4); \\ Michel Marcus, May 09 2021

CROSSREFS

Cf. A176774.

Sequence in context: A226056 A104011 A242879 * A175778 A357039 A226182

Adjacent sequences: A176772 A176773 A176774 * A176776 A176777 A176778

KEYWORD

nonn

AUTHOR

Max Alekseyev, Apr 25 2010

STATUS

approved

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Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)