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Search: id:A080335
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| A080335 |
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Diagonal in maze arrangement of natural numbers. |
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+0
6
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| 1, 5, 9, 17, 25, 37, 49, 65, 81, 101, 121, 145, 169, 197, 225, 257, 289, 325, 361, 401, 441, 485, 529, 577, 625, 677, 729, 785, 841, 901, 961, 1025, 1089, 1157, 1225, 1297, 1369, 1445, 1521, 1601, 1681, 1765, 1849, 1937, 2025, 2117, 2209, 2305, 2401, 2501
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Interleaves the odd squares A016754 with (1+4n^2), A053755.
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FORMULA
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a(n)=(3+4n+2n^2-(-1)^n)/2 a(2n)=A016754(n) a(2n+1)=A053755(n+1).
The sequence 1, 1, 5, 9, ... is given by n^2+(1+(-1)^n)/2. - Paul Barry (pbarry(AT)wit.ie), Sep 02 2003
E.g.f.: exp(x)(2+3x+x^2)-cosh(x); the sequence 1, 1, 5, 9, .. has e.g.f. exp(1+x+x^2)exp(x)-sinh(x). - Paul Barry (pbarry(AT)wit.ie), Sep 19 2003
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CROSSREFS
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Cf. A081347, A081348.
Sequence in context: A095725 A005006 A054278 this_sequence A089109 A100449 A081295
Adjacent sequences: A080332 A080333 A080334 this_sequence A080336 A080337 A080338
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 19 2003
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