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Search: id:A061925
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A061925 Ceiling[n^2/2]+1. +0
9
1, 2, 3, 6, 9, 14, 19, 26, 33, 42, 51, 62, 73, 86, 99, 114, 129, 146, 163, 182, 201, 222, 243, 266, 289, 314, 339, 366, 393, 422, 451, 482, 513, 546, 579, 614, 649, 686, 723, 762, 801, 842, 883, 926, 969, 1014, 1059, 1106, 1153, 1202, 1251, 1302, 1353, 1406 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n+1) gives index of the first occurrence of n in A100795. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 05 2004

First term in each group in A074148. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 28 2002

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,1000

FORMULA

a(n) = a(n-1)+2*[(n-1)/2]+1 = A061926(3, k) = 2*A002620(n+1)-(n-1) = A000982(n)+1. a(2n) = a(2n-1)+2n-1 = 2*n^2+1 = A058331(n); a(2n+1) = a(2n)+2n+1 = 2*(n^2+n+1) = A051890(n+1).

PROGRAM

(PARI) { for (n=0, 1000, write("b061925.txt", n, " ", ceil(n^2/2) + 1) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 29 2009]

CROSSREFS

Cf. A100795, A074148.

Cf. A074147, A074148, A074149.

Sequence in context: A008823 A127719 A074150 this_sequence A073736 A101593 A084628

Adjacent sequences: A061922 A061923 A061924 this_sequence A061926 A061927 A061928

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 17 2001

EXTENSIONS

Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Andrew Plewe, Jun 09 2007

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.


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